Publications of Allen D. Bell

Click on the title of each paper for more information, including an abstract (in LaTeX) and PDF availability. Click here for my author profile on MathSciNet. You can also amuse yourself by seeing what Math Reviews I have written.

  1. Goldie dimension of prime factors of polynomial and skew polynomial rings, J. London Math. Soc. (2) 29 (1984) 418--424. (MR 85k:16027)
    Abstract
  2. When are all prime ideals in an Ore extension Goldie?, Comm. Algebra 13 (1985) 1743--1762. (MR 86j:16003)
    Abstract
  3. Localization and ideal theory in Noetherian strongly group-graded rings, J. Algebra 105 (1987) 76--115. (MR 88c:16105)
    Abstract
  4. Localization and ideal theory in iterated differential operator rings, J. Algebra 106 (1987) 376--402. (MR 88m:16002)
    Abstract
  5. (with K. R. Goodearl) Uniform rank over differential operator rings and Poincaré-Birkhoff-Witt extensions, Pacific J. Math. 131 (1988) 13--37. (MR 88j:16004)
    Abstract
  6. "Notes on Localization in Noncommutative Noetherian Rings", Cuadernos de Algebra 9, Univ. of Granada, 1989, 77 pp.
    Abstract      revised PDF version
  7. (with G. Sigurdsson) Catenarity and Gelfand-Kirillov dimension in Ore extensions, J. Algebra 127 (1989) 409--425. (MR 91b:16027)
    Abstract
  8. (with I. M. Musson) Primitive factors of enveloping algebras of nilpotent Lie superalgebras, J. London Math. Soc. (2) 42 (1990) 401--408. (MR 92b:17013)
    Abstract
  9. A criterion for primeness of enveloping algebras of Lie superalgebras, J. Pure and Applied Algebra 69 (1990) 111--120. (MR 92b:17014)
    Abstract
  10. Skew differential operators on commutative rings, in Abelian Groups and Noncommutative Rings: A collection of papers in memory of Robert B. Warfield, Jr., ed. L. Fuchs, K. R. Goodearl, J. T. Stafford, and C. Vinsonhaler, Contemporary Mathematics 130, American Mathematical Society, Providence, 1992, pp. 49--67. (MR 93h:13024)
    Abstract      PDF preprint
  11. (with R. Farnsteiner) An application of Frobenius extensions to Lie superalgebras, Trans. Amer. Math. Soc. 335 (1993) 407--424. (MR 93c:17049)
    Abstract
  12. (with K. R. Goodearl) Algebras of bounded finite dimensional representation type, Glasgow Math. J. 37 (1995) 289--302. (MR 97c:16019)
    Abstract      PDF preprint
  13. (with S. S. Stalder and M. L. Teply) Prime ideals and radicals in semigroup-graded rings, Proc. Edinburgh Math. Soc. 39 (1996) 1--25. (MR 97a:16081)
    Abstract      PDF preprint
  14. Prime ideals and radicals in rings graded by Clifford semigroups, Comm. Algebra 25#5 (1997) 1595--1608. (MR 98e:16022)
    Abstract      PDF preprint
  15. Comodule algebras and Galois extensions relative to polynomial algebras, free algebras, and enveloping algebras, Comm. Algebra 28#1 (2000) 37--62. (MR 2000m:16047)
    Abstract      PDF preprint


To Allen Bell's vita ***** To Allen Bell's home page

To UWM Math Home Page   ******   To UWM Home Page

Send feedback to adbell@uwm.edu