Publications of Allen D. Bell

Click on the title of each paper for more information, including an abstract (in LaTeX) and electronic availability. Click on the Math Review number for the review; click here for a complete list of Math Reviews of my papers. (These are only available if MathSciNet is accessible to you. For a list that is accessible to anyone, follow this link.)
If you have 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)
2. When are all prime ideals in an Ore extension Goldie?, Comm. Algebra 13 (1985) 1743--1762. (MR 86j:16003)
3. Localization and ideal theory in Noetherian strongly group-graded rings, J. Algebra 105 (1987) 76--115. (MR 88c:16105)
4. Localization and ideal theory in iterated differential operator rings, J. Algebra 106 (1987) 376--402. (MR 88m:16002)
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)
6. "Notes on Localization in Noncommutative Noetherian Rings", Cuadernos de Algebra 9, Univ. of Granada, 1989, 77 pp.
7. (with G. Sigurdsson) Catenarity and Gelfand-Kirillov dimension in Ore extensions, J. Algebra 127 (1989) 409--425. (MR 91b:16027)
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)
9. A criterion for primeness of enveloping algebras of Lie superalgebras, J. Pure and Applied Algebra 69 (1990) 111--120. (MR 92b:17014)
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)
11. (with R. Farnsteiner) An application of Frobenius extensions to Lie superalgebras, Trans. Amer. Math. Soc. 335 (1993) 407--424. (MR 93c:17049)
12. (with K. R. Goodearl) Algebras of bounded finite dimensional representation type, Glasgow Math. J. 37 (1995) 289--302. (MR 97c:16019)
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)
14. Prime ideals and radicals in rings graded by Clifford semigroups, Comm. Algebra 25#5 (1997) 1595--1608. (MR 98e:16022)
15. Comodule algebras and Galois extensions relative to polynomial algebras, free algebras, and enveloping algebras, Comm. Algebra 28#1 (2000) 37--62.

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