Louis Rowen - Publications

Books - author

  1. Polynomial Identities in Ring Theory, Academic Press (Pure and Applied Math. Series), 384 pp., March, 1980.
  2. Ring Theory (2 volumes), Academic Press (Pure and Applied Math. Series 127 and 128), 1988. (Revised student edition 1991)
  3. Algebra - Groups, Rings, and Fields, 239 pp. AK Peters, 1994.
  4. (with A.Belov) Polynomial Identities- A combinatoric approach, 378 pages, AK Peters, 2005.
  5. Graduate Algebra, AMS Graduate Texts in Mathematics, Volume 1, 2006, 438 pp.

Books - editor

  • Ring Theory 1989 (in honor of S.A. Amitsur), IMCP Vol. 1, Weizmann Press, 1989.
  • Proceedings of Miskolc Ring Theory Conference (In conjunction with the European Mathematical Union Meeting, 1996), appeared as special issue of the Journal of Pure and Applied Algebra.
  • (with D. Saltman and L. Small) Collected papers of S.A. Amitsur, Amer. Math. Soc. 2001.

    Book Reviews

  • Polynomial identity rings (book by V. Drensky and E. Formanek) Bull. Amer. Math. Soc. 43 (2006), 259-267.

    Articles (in refereed publications)

    1. Some results on the center of a ring with polynomial identity, Bull. Amer. Math. Soc. 79 (1973), 219-223.
    2. On classical quotients of polynomial identity rings with involution, Proc. Amer. Math. Soc. 40 (1973), 23-29.
    3. Maximal quotients of semiprime PI-algebras, Trans. Amer. Math. Soc. 196 (1974), 127- 135.
    4. A subdirect decomposition of semiprime rings and its application to maximal quotient rings, Proc. Amer. Math. Soc. 46 (1974), 176-180.
    5. (with J. Fisher), An embedding of semiprime PI-rings, Pacif. Journal of Math. 52 (1974), 369-375.
    6. Universal PI-algebras and algebras of generic matrices, Israel J. Mathematics 18 (1974), 65- 74.
    7. On rings with central polynomials, J. Algebra 31 (1974), 393-426.
    8. Standard polynomials in matrix algebras, Trans. Amer. Math. Soc. 196 (1974), 252-283.
    9. Structure of rings with involution applied to generalized polynomial identities, Canad. J. Math. 27 (1975), 573-584.
    10. Identities in algebras with involution, Israel J. Math. 20 (1975), 70-95.
    11. Generalized polynomial identities, J. Algebra 34 (1975), 458-480.
    12. Generalized polynomial identities II, J. Algebra 38 (1976), 380-392.
    13. Monomial conditions on rings, Israel J. Math. 23 (1976) 19-30.
    14. Generalized polynomial identities III, J. Algebra 47 (1977), 305-314.
    15. Monomial conditions on prime rings, Israel J. Math. 27 (1977), 131-150. Correction ibid. 30 (1978), 192.
    16. Classes of rings torsion free over the center. Pacific Journal of Math. 69 (1977), 527-534.
    17. Nonassociative rings satisfying a normal polynomial identity, J. Algebra 49 (1977), 104- 111.
    18. The theory of generalized polynomial identities, Proc. Ohio University Ring Theory Conference, Marcel Dekker (1977), 15-61.
    19. Central simple algebras with involution, Bull. Amer. Math. Soc. 83 (1977), 1031-1032.
    20. A short proof of the Chevalley-Jacobson Density Theorem, MAA Monthly 85 (1978), 185- 186.
    21. Central simple algebras, Israel J. Math. 29 (1978), 285-301.
    22. (with U. Schild) A scalar expression for matrices with symplectic involution, Mathematics of Computation 32 (1978), 607-613.
    23. Polynomial identities of nonassociative rings, Ill. Journal Math. 22 (1978), 342-378.
    24. Polynomial identities of nonassociative rings II, Ill. Journal Math. 22 (1978), 521-540.
    25. Polynomial identities of nonassociative rings III, Ill. Journal Math. 23 (1979), 15-35.
    26. (with S.A. Amitsur and J.P. Tignol) Division algebras of degree 4 and 8 with involution, Bull. Amer. Math. Soc. 1 (1979), 133-148.
    27. (with S.A. Amitsur and J.P. Tignol) Division algebras of degree 4 and 8 with involution, Israel J. Math 33 (1979), 133-148.
    28. Invariant subgroups of rings with involution, Comm. in Alg. 7 (1979), 2007-2025.
    29. Central polynomials for special Jordan rings without nilpotent elements, and an analogue of Kaplansky's theorem, J. Algebra 63 (1980), 41-55.
    30. Central simple algebras with involution viewed through centralizers, J. Algebra 63 (1980), 41-55.
    31. Division algebra counterexamples of degree 8, Israel J. Math. 38 (1981), 51-57.
    32. (with D. Saltman) Dihedral algebras are cyclic, Proc. Amer. Math. Soc. 84 (1982), 162- 164.
    33. Cyclic division algebras, Israel J. Math. 41 (1982), 213-234. Correction ibid. 43 (1982), 277-280.
    34. A simple proof of Kostant's Theorem, with an analog for the symplectic involution, Contemporary Math. 13 (1982), 207-215.
    35. Division algebras of exponent 2 and characteristic 2, J. Algebra 9 (1983), 71-83.
    36. (with M. Cohen) Group graded rings, Comm. Alg. 11 (1983), 1253-1270.
    37. Brauer factor sets and simple algebras, Trans. Amer. Math. Soc. 282 (1984) 765-772.
    38. Finitely presented modules over semiperfect rings, Proc. Amer. Math. Soc. 97(1986), pp.1-7.
    39. Finitely presented modules over semiperfect rings satsifying ACC-\infty, J. Algebra 107 (1987), pp. 284-291.
    40. (with L. Manevitz) Generic structures, Freedom via forcing: Uniform construction of relatively free or generic structures, Springer Lecture Notes in Math. 1987?
    41. Primitive ideals, Springer Lecture Notes in Math. 1404 ( M.-P. Malliavin seminar) (1989), 322-345.
    42. Examples of semiperfect rings, Israel J. Math. 65 (1989), 273-283.
    43. Koethe's conjecture, Israel Mathematics Conference Proceedings vol. 1 (Amitsur Conference Volume) (1989), pp. 193-202.
    44. Modules over affine algebras having subexponential growth, J. Algebra 133 (1990), 527- 532.
    45. Wedderburn's method and algebraic elements of simple Artinian rings, Contemporary Mathematics 124 (1991), 179-202.
    46. (with D. Saltman) Prime to p extensions of division algebras, Israel J. of Mathematics 78 (1992), 197-207.
    47. Polynomials over Division Rings, and their applications in RING THEORY ( S.K. Jain, S. Tariq Rizi ed.), World Scientific (1993), 287-302.
    48. (with S.A. Amitsur) Elements of reduced trace 0, Israel J. of Mathematics 87 (1994), 161-179.
    49. (with D. Haile) Factorizations of Polynomials, Algebra Colloquium 2 (1995), 145-156.
    50. Azumaya algebras with Involution, Polarizations, Linear GeneralizedIdentities, J. Algebra 178 (1995), 430-443
    51. Left ideals of polynomial rings in several indeterminates, Comm. in Algebra 23 (6)(1995), 2263-2279.
    52. Elements in division algebras of degree 3 and 4, Contemporary Math. 184 (1995), 405-410.
    53. (with S.K. Jain and S. Lopez) Superflous Covers, Comm. in Algebra, 23 (6)(1995), 1663-1677.
    54. (with J.-P. Tignol) On the decomposition of cyclic division algebras, Israel J. Math 96 (1996), 553-578.
    55. (with D. Saltman) Semidirect product division algebras, Israel J. Math 96 (1996), 527-552.
    56. (with D. Saltman) Normalized Brauer factor sets, J. Algebra 198 (1997), 446-468.
    57. (with Small L.) Primitive ideals of algebras, Comm. in Algebra 25 (12) (1997), 3853-3857.
    58. (with Cedo F.) Examples of Semiperfect Rings II (addendum), Israel J. Math. 107 (1998), 343-348.
    59. (with Y. Segev) The finite quotients of the multiplicative group of a division algebra of degree 3 are solvable, Israel J. Math (1999), 111 (1999), 373-380.
    60. Are p-Algebras having cyclic quadratic extensions necessarily cyclic?, J. Algebra 215 (1999), 215-228.
    61. (with A. Berele) T-ideals and superAzumaya algebras, J. Algebra 212 (1999), 703-720.
    62. (with Y. Segev) The multiplicative group of a division algebra of degree 5, and Wedderburn's Theorem, Contemporary Math. (2000), 145-156.
    63. Division algebras over $C_2$ and $C_3$-fields, Proc. Amer. Math. Soc. 130 (2001), 1607-1610.
    64. (with D. Haile) Weakly Azumaya algebras, J. Algebra 250 (2002), 134-177.
    65. (with I. Kantor) Ring-theoretic Properties of Algebras of Invariants, J. Algebra 266 (2003), 239-260.
    66. (with M. Lorenz, Z. Reichstein, and D. Saltman) The field of definition of a division algebra, J. London Math. Soc. 68 no. 3 (2003), 651-679.
    67. (with B. Kunyavski, V. Yanchevskii, and Tikhonov S), Division algebras over $P_2$ that ramify only on a quartic curve, Proc. Amer. Math. Soc. 134 (2006), 921-929.
    68. (with B. Kunyavski, V. Yanchevskii, and Tikhonov S) Bicyclic algebras of prime exponent over function fields, Trans. Amer. Math. Soc. 358 (2006), 2579-2610
    69. (with Sivatski A.S. and Tignol J.-P.) Division algebras over rational function fields in one variable, Algebra and Number Theory, Hindustan Book Agency, Delhi (2005), 158-180
    70. (with Belov-Kanel A. and Vishne U.) Normal bases of algebras, Advances Appl. Math 37 (2006), 378-389.
    71. (with Rapinchuk A. and Segev Y.) Nonabelian free subgroups in homomorphic images of valued quaternion division algebras, Proc. Amer. Math. Soc. 134 (2006), 3107-3114

    To appear

  • (with Segev Y.) Normal subgroups of quaternion algebras, with special emphasis on positive characteristic, J. Algebra (2006?)
  • (with I. Kantor) The First Peirce approximation for Generalized Jordan triple systems of finite order, J. Algebra (2007?)

    submitted

  • (with I. Kantor) Higher Peirce approximations applied to Jordan triple systems (2006), 21pp.

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