{"id":158,"date":"2023-06-08T14:15:40","date_gmt":"2023-06-08T21:15:40","guid":{"rendered":"https:\/\/live-usc-dornsife.pantheonsite.io\/susan-montgomery\/?page_id=158"},"modified":"2023-06-30T08:29:50","modified_gmt":"2023-06-30T15:29:50","slug":"publications","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/susan-montgomery\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n\n \n \n\n\n\n\n\n\n\n
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Books<\/h3>\n
    \n
  • S. Montgomery, L. Rowen and H.-J. Schneider (co-editors), Special Issue of Communications in Algebra in honor of Miriam Cohen<\/em>, vol. 39, no. 12, Taylor and Francis 2011.<\/li>\n
  • New Directions in Hopf Algebras<\/i>\u00a0(co-editor with H.-J. Schneider), MSRI Publications, vol. 43, Cambridge University Press, 2002<\/li>\n
  • Hopf Algebras and Their Actions on Rings<\/i>, CBMS Lecture Notes vol 82, American Math Society, Providence, RI, 1993 (238 pages).<\/li>\n
  • Advances in Hopf Algebras<\/i> (co-editor with Jeffrey Bergen), Lecture Notes in Pure and Applied Math 158<\/strong>, Marcel Dekker, 1994.<\/li>\n
  • Non-Commutative Rings<\/i>\u00a0(co-editor with L. W. Small), MSRI Publications, vol 24, Springer-Verlag, 1992.<\/li>\n
  • Group Actions on Rings<\/i> (editor), Proceedings of Joint Summer Research Conference, AMS Contemporary Math, vol 43, AMS 1985.<\/li>\n
  • Fixed Rings of Finite Automorphism Groups of Associative Rings\u00a0<\/i>, Lecture Notes in Math 818, Springer-Verlag, New York, 1980.<\/li>\n
  • Selected Papers on Algebra<\/i>\u00a0(co-chair of editorial committee), Raymond W. Brink Selected Mathematical Papers, vol 3, Mathematical Association of America, Washington DC, 1977.<\/li>\n<\/ul>\n
    \n

    Papers<\/h3>\n
      \n
    • A. Mejia Casrano, S. Montgomery, S. Natale, M. Vega, and C. Walton, Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2<\/em>, submitted (arXiv:1610.03810).<\/li>\n
    • S. Montgomery, M. Vega, and S. Witherspoon, Hopf automorphisms and twisted extensions<\/em>, Journal of Algebra and Applications 15, No 6,<\/strong> (2016) (14 pages).<\/li>\n
    • M. Iovanov, G. Mason, and S. Montgomery, F SZ-groups and Frobenius-Schur indicators of quantum doubles<\/em>, Math Research Letters 21 (2014), 757-779.<\/li>\n
    • A. Jedwab and S. Montgomery, Modular representations and indicators for bismash products<\/em>, J. Algebra 377 (2013), 281-297. 21<\/li>\n
    • Y. Kashina, S. Montgomery, and S-H. Ng, On the trace of the antipode and higherindicators<\/em>, Israel J. Math 188 (2012), 57-90.<\/li>\n
    • A. Jedwab and S. Montgomery, A q-identity related to a comodule<\/em>, Communications in Algebra 39<\/strong> (2011), 4669-4678 (Special issue in honor of Miriam Cohen).<\/li>\n
    • S. Montgomery, Hopf Galois theory: a survey, in New Topological Contexts for Galois Theory and Algebraic Geometry (A. Baker and B. Richter, editors)<\/em>, Geometry and Topology Monographs 16<\/strong> (2009), 367-400.<\/li>\n
    • Y. Bahturin, M. Kochetov, and S. Montgomery, Group gradings on simple Lie algebras in finite characteristic<\/em>, AMS Proceedings 137<\/strong> (2009), 1245 – 1254.<\/li>\n
    • R. M. Guralnick and S. Montgomery, Frobenius-Schur indicators for subgroups and the Drinfel\u2019d double of Weyl groups<\/em>, AMS Transactions 361<\/strong> (2009), 3611-3632.<\/li>\n
    • A. Jedwab and S. Montgomery, Representations of some Hopf algebras associated to the symmetric group Sn<\/em>, Algebras and Representation Theory 12<\/strong> (2009), 1-17.<\/li>\n
    • V. Linchenko and S. Montgomery, Semiprime smash products and H-stable prime radicals for PI-algebras, AMS Proceedings 135<\/strong> (2007), 3091-3098.<\/li>\n
    • R. Landers, S. Montgomery, and P. Schauenburg, Hopf powers and orders for some bismash products<\/em>, J. Pure and Applied Algebra 205<\/strong> (2006), 156-188.<\/li>\n
    • V. Linchenko, S. Montgomery and L. W. Small, Stable Jacobson Radicals and Semiprime Smash Products<\/em>, London Math. Soc. Bulletin 37<\/strong> (2005), 860-872.<\/li>\n
    • S. Montgomery, Algebra properties invariant under twisting, in Hopf Algebras in Noncommutative Geometry and Physics (S. Caenepeel and F. Van Oystaeyen, editors)<\/em>, Lecture Notes in Pure and Applied Math 239<\/strong>, Marcel Dekker, New York, 2005, 61-75.<\/li>\n
    • S. Montgomery and H.-J. Schneider, Krull relations in Hopf Galois extensions: lifting <\/em>and twisting<\/em>, J. Algebra 288<\/strong> (2005), 364-383.<\/li>\n
    • S. Montgomery, Primitive ideals in Hopf Galois extensions, in Algebraic Structures and their Representations, XV Colloquio Latinamericano, Cocoyoc, Mexico (Jose de la Pe\u02dcna, E. Vallejo, and N. Atakishiyev, Editors)<\/em>, AMS Contemporary Math 376<\/strong> (2005), 333-344.<\/li>\n
    • Y. Bahturin, S. Montgomery, and M. Zaicev, Generalized Lie solvability of associative algebras, Groups, Rings, Lie, and Hopf Algebras (Yu. Bahturin, editor)<\/em>, Proceedings of the 2001 St. John\u2019s Conference, Kluwer, 2003, 1-23.<\/li>\n
    • Y. Bahturin, M. Kochetov and S. Montgomery, Polycharacters of cocommutative Hopf algebras<\/em>, Canadian Math Bulletin 45<\/strong> (2002), 11-24.20<\/li>\n
    • Y. Kashina, G. Mason and S. Montgomery, Computing the Frobenius-Schur indicator for abelian extensions of Hopf algebras<\/em>, J. Algebra 251<\/strong> (2002), 888-913.<\/li>\n
    • S. Montgomery, Bicharacters, twistings, and Scheunert\u2019s theorem for Hopf algebras (with Yu. Bahturin and D. Fischman)<\/em>, J. of Algebra 236<\/strong> (2001), 246-276.<\/li>\n
    • S. Montgomery and H.-J. Schneider, Skew-derivations of finite-dimensional algebras and actions of the double of the Taft Hopf algebra<\/em>, Tsukuba J. of Math 25<\/strong> (2001), 337-358.<\/li>\n
    • S. Montgomery, Representation theory of finite-dimensional semisimple Hopf algebras, Algebra – Representation Theory (Constanta, 2000), K. W. Roggenkamp and M. Stefanescu, editors<\/em>, NATO Sci. Ser. II Math. Phys. Chem. 28<\/strong>, Kluwer, Dordrecht, 2001, 189-218.<\/li>\n
    • V. Linchenko and S. Montgomery, A Frobenius-Schur theorem for Hopf algebras<\/em>, Algebras and Representation Theory 3<\/strong> (2000), 347-355.<\/li>\n
    • Y. Bahturin and S. Montgomery, PI-envelopes of Lie superalgebras<\/em>, AMS Proceedings 127<\/strong> (1999), 2829-2839.<\/li>\n
    • S. Montgomery and H.-J. Schneider, Prime ideals in Hopf Galois extensions<\/em>, Israel J Math 112<\/strong> (1999), 187-235.<\/li>\n
    • M. Cohen, D. Fischman and S. Montgomery, On Yetter-Drinfeld categories and Hcommutativity<\/em>, Comm. in Algebra 27<\/strong> (1999), 1321-1345.<\/li>\n
    • S. Montgomery, Classifying finite-dimensional semisimple Hopf algebras, in Trends in <\/em>the Representation Theory of Finite-Dimensional Algebras, E. Green and B. ZimmermannHuisgen, editors<\/em>, AMS Contemporary Math. vol 229<\/strong> (1998), 265-279.<\/li>\n
    • S. Montgomery and L. W. Small, Nil subsets of graded algebras<\/em>, AMS Proceedings 126<\/strong> (1998), 653-656.<\/li>\n
    • S. Montgomery and S. Witherspooon, Irreducible representations of crossed products<\/em>, J. Pure and Applied Algebra 129<\/strong> (1998), 315-326.<\/li>\n
    • S. Montgomery, Constructing simple Lie superalgebras from associative graded algebras<\/em>, J. of Algebra 195<\/strong> (1997), 558 – 579.<\/li>\n
    • D. Fischman, S. Montgomery and H.-J. Schneider, Frobenius extensions of subalgebras of Hopf algebras<\/em>, AMS Transactions 349<\/strong> (1997), 4857 – 4895.<\/li>\n
    • W. Chin and S. Montgomery, Basic coalgebras, in Modular Interfaces: Modular Lie algebras, Quantum groups, and Lie superalgebras<\/em>, V. Chari and I. Penkov, editors, AMS-International Press, vol 4<\/strong>, 1997, pp 41-47.<\/li>\n
    • Y. Bahturin, D. Fischman and S. Montgomery, On the generalized Lie structure of<\/em>
      \nassociative algebras<\/em>, Israel J. of Math. 96<\/strong> (1996), 27-48.<\/li>\n
    • S. Montgomery, Indecomposable coalgebras, simple comodules, and pointed Hopf algebras<\/em>, AMS Proceedings 123<\/strong> (1995), 2343-2351.<\/li>\n
    • S. Montgomery and H.-J. Schneider, Hopf crossed products, rings of quotients and prime ideals<\/em>, Advances in Math 112<\/strong> (1995), 1-55.19<\/li>\n
    • R. M. Guralnick and S. Montgomery, On invertible bimodules and automorphisms of non-commutative rings<\/em>, AMS Transactions 341<\/strong> (1994), 917-937.<\/li>\n
    • D. Fischman and S. Montgomery, A Schur double centralizer theorem for cotriangular Hopf algebras and generalized Lie algebras<\/em>, J. Algebra 168<\/strong> (1994), 594-614.<\/li>\n
    • S. Montgomery, Biinvertible actions of Hopf algebras<\/em>, Israel J. of Math 83<\/strong> (1993), 45-71.<\/li>\n
    • S. Montgomery, Some remarks on filtrations of Hopf algebras<\/em>, Comm. in Algebra 21 <\/strong>(1993), 999-1007.<\/li>\n
    • S. Montgomery, Hopf Galois extensions, in Azumaya Algebras, Actions, and Modules<\/em>, AMS Contemporary Math, Vol. 124<\/strong>, 1992, 129-140.<\/li>\n
    • J. Bergen and S. Montgomery, Ideals and quotients in crossed products of Hopf algebras<\/em>, J. Algebra 155<\/strong> (1992), 374-396.<\/li>\n
    • S. Montgomery, Book review of: Infinite Crossed Products, by D. S. Passman<\/em>, AMS Bulletin 24<\/strong> (1991), 391-402.<\/li>\n
    • S. Montgomery and S. P. Smith, Skew derivations and Uq(sl(2))<\/em>, Israel J. Math 72<\/strong> (1990), 158-166.<\/li>\n
    • M. Cohen, D. Fischman and S. Montgomery, Hopf Galois extensions, smash products, <\/em>and Morita equivalence<\/em>, J. of Algebra 133<\/strong> (1990), 351-372.<\/li>\n
    • S. Montgomery, A generalized Picard group for prime rings, in Topics in Algebra,<\/em>
      \nProceedings of the Algebra Semester 1988<\/em>, Banach Center Publications Vol. 26<\/strong>, Part I, PWA – Polish Scientific Publishers, Warsaw 1990, 55-63.<\/li>\n
    • R. J. Blattner and S. Montgomery, Crossed products and Galois extensions of Hopf algebras<\/em>, Pacific J. Math, 137<\/strong> (1989), 37-54.<\/li>\n
    • R. Guralnick and S. Montgomery, Normalizing elements of the trace ring of generic matrices<\/em>, Comm. in Algebra 27<\/strong> (1989), 1805-1813.<\/li>\n
    • S. Montgomery, Inner actions of Hopf algebras, in Ring Theory 1989 (in honor of S. A. Amitsur)<\/em>, Israel Math. Conference Proceedings, Weizmann Science Press, 1989, pp 141-149.<\/li>\n
    • S. Montgomery, Prime ideals and group actions in non-commutative algebras, in Invariant Theory<\/em>, AMS Contemporary Math. 88<\/strong> (1989), 103-124.<\/li>\n
    • S. Montgomery, Crossed products of Hopf algebras and enveloping algebras, in Perspectives in Ring Theory<\/em>, Proceedings of NATO Workshop, Antwerp 1987, NATO ASI Series C, Vol. 233<\/strong> Kluwer (1988), 253-268. 18<\/li>\n
    • S. Montgomery, Progress on some problems about group actions, in Perspectives in <\/em>Ring Theory<\/em>, NATO ASI Series C, Vol 233<\/strong>, Kluwer, Dordrecht (1988), 269-274.<\/li>\n
    • S. Montgomery and D. S. Passman, Algebraic analogs of the Connes spectrum<\/em>, J. of Algebra 115<\/strong> (1988) 92-124.<\/li>\n
    • J. Bergen, S. Montgomery and D. S. Passman, Radicals of crossed products of enveloping algebra<\/em>, Israel J. of Math. 59<\/strong> (1987), 167-184.<\/li>\n
    • S. Montgomery and D. S. Passman, Prime ideals in fixed rings of free algebras<\/em>, Comm. in Algebra, 15<\/strong> (1987), 2209-2234.<\/li>\n
    • S. Montgomery and L. W. Small, Some remarks on affine rings<\/em>, AMS Proceedings, 98<\/strong> (1986), 537-544.<\/li>\n
    • S. Montgomery and D. S. Passman, X-inner automorphisms of crossed products and <\/em>semi-invariants of Hopf algebras<\/em>, Israel J. Math. 55<\/strong> (1986), 33-57.<\/li>\n
    • R. J. Blattner, M. Cohen, and S. Montgomery, Crossed products and inner actions of Hopf algebras<\/em>, AMS Transactions 298<\/strong> (1986), 671-711.<\/li>\n
    • J. W. Fisher and S. Montgomery, Invariants of finite cyclic groups acting on generic matrices<\/em>, J. of Algebra 99<\/strong> (1986), 430-437.<\/li>\n
    • J. Bergen and S. Montgomery, Smash products and outer derivations<\/em>, Israel J. of Math. 53<\/strong> (1986), 321 – 345.<\/li>\n
    • S. Montgomery, Duality for actions and coactions of groups, in Group Actions on Rings<\/em>, AMS Contemporary Math, vol. 43<\/strong> (1985), 191-207.<\/li>\n
    • R. J. Blattner and S. Montgomery, A duality theorem for Hopf module algebras<\/em>, J. of Algebra 95<\/strong> (1985), 153-172.<\/li>\n
    • S. Montgomery, Group actions on rings: some classical problems, in Methods in Ring Theory, F.van Oystaeyen, editor, NATO Advanced Study Institute in Ring Theory<\/em>, Antwerp 1983<\/em>, NATO ASI Series C, Vol. 129<\/strong>, Reidel (1984), 327-346.<\/li>\n
    • Montgomery and D. S. Passman, Galois theory of prime rings, E. Noether 100th Birthday issue<\/em>, J. Pure and Applied Algebra 31<\/strong> (1984), 139-184. 17<\/li>\n
    • S. Montgomery and L. W. Small, Integrality and prime ideals in fixed rings of PI rings<\/em>, E. Noether 100th Birthday issue<\/em>, J. Pure and Applied Algebra 31<\/strong> (1984), 185-190.<\/li>\n
    • S. Montgomery and D. S. Passman, Outer Galois theory of prime rings<\/em>, Rocky Mountain J. Math. 14<\/strong> (1984), 305-318.<\/li>\n
    • S. Montgomery, von Neumann finiteness of tensor products of algebras<\/em>, Comm. in Algebra 11<\/strong> (1983), 595-610.<\/li>\n
    • Montgomery, X-inner automorphisms of filtered algebras II<\/em>, AMS Proceedings 87<\/strong> (1983), 569-575.<\/li>\n
    • W. S. Martindale, III and S. Montgomery, The normal closure of coproducts of domain<\/em>, J. of Algebra 82<\/strong> (1983), 1-17.<\/li>\n
    • S. Montgomery, X-inner automorphisms of filtered algebras<\/em>, AMS Proceedings 83<\/strong> (1981), 263-268.<\/li>\n
    • M. Lorenz, S. Montgomery and L. W. Small, Prime ideals in fixed rings II<\/em>, Comm. in Algebra, 10<\/strong> (1982), 449-455.<\/li>\n
    • M. Cohen and S. Montgomery, Trace-like functions on rings with no nilpotent element<\/em>, AMS Transactions 273<\/strong> (1982), 131-145.<\/li>\n
    • D. S. Passman and S. Montgomery, X-inner automorphisms of group rings II<\/em>, Houston J. Math. 8<\/strong> (1982), 537-544.<\/li>\n
    • S. Montgomery, Trace functions and affine fixed rings for groups acting on non commutative rings, Seminaire d\u2019Algebra Paul Dubreil et Marie-Paule Malliavin<\/em>, Lecture Notes in Mathematics 924<\/strong>, Springer-Verlag (1982), 356-374.<\/li>\n
    • S. Montgomery and L. W. Small, Fixed rings in Noetherian rings<\/em>, London Math. Soc. Bulletin 13<\/strong> (1981), 33-38.<\/li>\n
    • S. Montgomery, Prime ideals in fixed rings<\/em>, Comm. in Algebra 9<\/strong> (1981), 423-449.<\/li>\n
    • M. Cohen and S. Montgomery, Trace functions for finite automorphism groups of rings<\/em>, Archiv der Mathematik 35<\/strong> (1980), 516-527.<\/li>\n
    • S. Montgomery, Automorphism groups of rings with no nilpotent elements<\/em>, J. of Algebra 60<\/strong> (1979), 238-248.<\/li>\n
    • M. Cohen and S. Montgomery, The normal closure of a semiprime ring, in Ring Theory: Proceedings of the 1978 Antwerp Conference<\/em>, Marcel Dekker Lecture Notes in Mathematics 51<\/strong> (1979), 43-59.<\/li>\n
    • S. Montgomery, Invariant subgroups of rings with involution<\/em>, Canadian J. Math. 30<\/strong> (1978), 350-357.<\/li>\n
    • S. Montgomery, Outer automorphisms of semi-prime rings<\/em>, London Math. Soc. Journal 18<\/strong> (1978), 209-220. 16<\/li>\n
    • J. W. Fisher and S. Montgomery, Semiprime skew group rings<\/em>, J. of Algebra 52<\/strong> (1978), 241-247.<\/li>\n
    • S. Montgomery and D. S. Passman, Crossed products over prime rings<\/em>, Israel J. Math. 31<\/strong> (1978), 224-256.<\/li>\n
    • W. S. Martindale, III and S. Montgomery<\/em>, Fixed elements of Jordon automorphisms of associative rings, Pacific J. Math. 72<\/strong> (1977), 181-196.<\/li>\n
    • S. Montgomery, The Jacobson radical and fixed rings of automorphisms<\/em>, Comm. in Algebra 4<\/strong> (1976), 459-465.<\/li>\n
    • S. Montgomery, A structure theorem and a positive-definiteness condition in rings with involution<\/em>, J. of Algebra 43<\/strong> (1976), 181-192.<\/li>\n
    • S. Montgomery and M. K. Smith, Algebras with a separable subalgebra whose centralizer satisfies a polynomial identity<\/em>, Communications in Algebra 3<\/strong> (1975), 151 168.<\/li>\n
    • S. Montgomery, Centralizers of separable subalgebras<\/em>, Michigan Math. J. 22<\/strong> (1975), 15-24.<\/li>\n
    • M. Chacron, I. N. Herstein, and S. Montgomery, Structure of a certain class of rings with involution<\/em>, Canadian J. Math. 27<\/strong> (1975), 1114-1126.<\/li>\n
    • M. Cohen and S. Montgomery, Semi-simple Artinian rings of fixed points<\/em>, Canadian Math. Bulletin 18<\/strong> (1975), 189-190.<\/li>\n
    • S. Montgomery, Rings with involution in which every trace is nilpotent or regular<\/em>, Canadian J. Math. 26<\/strong> (1974), 130-137.<\/li>\n
    • S. Montgomery, Rings of quotients for a class of special Jordan rings<\/em>, J. of Algebra 31 <\/strong>(1974), 154-165.<\/li>\n
    • S. Montgomery, Chain conditions on symmetric elements<\/em>, AMS Proceedings 46<\/strong> (1974), 325-331.<\/li>\n
    • S. Montgomery, Centralizers satisfying polynomial identities<\/em>, Israel J. Math. 18<\/strong> (1974), 207-219.<\/li>\n
    • I. N. Herstein and S. Montgomery, A generalization of a theorem of Jacobson II<\/em>, Pacific J. Math. 43<\/strong> (1973), 233-240.<\/li>\n
    • S. Montgomery, Invertible and regular elements in rings with involution<\/em>, J. of Algebra 25<\/strong> (1973), 390-400.<\/li>\n
    • S. Montgomery, Algebraic algebras with involution<\/em>, AMS Proceedings 31<\/strong> (1972), 368- 372.<\/li>\n
    • C. Lanski and S. Montgomery, Lie structure of prime rings of characterists 2<\/em>, Pacific\u00a0 J. Math. 42<\/strong> (1972), 117-136.<\/li>\n
    • I. N. Herstein and S. Montgomery, A note on division rings with involution<\/em>, Michigan Math. J. 18 <\/strong>(1971), 75-79.<\/li>\n
    • S. Montgomery, Polynomial identity algebras with involution<\/em>, AMS Proceedings 27 <\/strong>(1971), 53-56.<\/li>\n
    • S. Montgomery, A generalization of a theorem of Jacobson<\/em>, AMS Proceedings 31<\/strong> (1971), 366-370.<\/li>\n
    • T. S. Erickson and S. Montgomery, The prime radical in special Jordan rings<\/em>, AMS Transactions 156<\/strong> (1971), 155-164.<\/li>\n
    • S. Montgomery<\/em>, Lie structure of simple rings of characteristic<\/em> 2<\/strong>, J. of Algebra 15 (1970), 387-407.<\/li>\n
    • S. Montgomery, Left and right inverses in group algebras<\/em>, AMS Bulletin 75<\/strong> (1969), 539-540.<\/li>\n<\/ul>\n\n\n\n<\/div>\n\n\n <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":279,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-158","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"\nPublications - Susan Montgomery<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/dornsife.usc.edu\/susan-montgomery\/publications\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Publications - Susan Montgomery\" \/>\n<meta property=\"og:url\" content=\"https:\/\/dornsife.usc.edu\/susan-montgomery\/publications\/\" \/>\n<meta property=\"og:site_name\" content=\"Susan Montgomery\" \/>\n<meta property=\"article:modified_time\" content=\"2023-06-30T15:29:50+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/dornsife.usc.edu\/susan-montgomery\/publications\/\",\"url\":\"https:\/\/dornsife.usc.edu\/susan-montgomery\/publications\/\",\"name\":\"Publications - 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