John Beachy
Department of Mathematical Sciences
Northern Illinois University
Abstract Algebra,
Third Edition,
Waveland Press, with W.D. Blair, 506 pp., 2006.
Introductory Lectures on Rings and Modules,
London Math Society Student Texts 47,
Cambridge University Press
238 pp., 1999.
Abstract Algebra,
Second Edition,
Waveland Press, with W.D. Blair, 427 pp., 1996.
Abstract Algebra with a Concrete Introduction,
Prentice Hall, with W.D. Blair, 325 pp., 1990.
Links to preprints and some reprints
[42]
Maximal torsion radicals in sigma[M] and minimal prime M-ideals,
18 pp (2002),
to appear in Comm. Algebra
[41]
On maximal radicals and prime M-ideals,
7 pp (2000),
to appear in East-West J. Math.
[40]
On flatness and the Ore condition,
Noncommutative Localization in Algebra and Topology,
London Math. Soc. Lecture Notes Series (No. 330),
Cambridge Univ. Press, 2005.
A. Ranicki, Ed., 1-4.
[39]
A note on Cohn's universal localization at a semiprime ideal,
Bull. Austral. Math. Soc.
69 (2004), 361-367.
[38]
M-injective modules and prime M-ideals,
Comm. Algebra
30 (2002), 4649-4676.
[37]
A note on additive rank functions,
Comm. Algebra
29 (2001), 4919-4922.
[36]
On Universal Localization at Semiprime Goldie Ideals,
Ring Theory,
Proceedings of the Biennial Ohio State-Denison Conference,
May, 1992,
World Scientific:
Singapore, New Jersey, London, Hong Kong,
pp. 41-57 (1993).
[35]
A note on prime ideals which test injectivity,
Comm. Algebra
15
(1987), 471-478, (with W. D. Weakley).
[34]
Examples in noncommutative localization,
J. Algebra
99
(1986), 108-113, (with W. D. Blair).
[33]
Piecewise Noetherian rings,
Comm. Algebra
12
(1984), 2679-2706, (with W. D. Weakley).
[32]
Stable torsion radicals over Noetherian rings,
J. Pure and Appl. Algebra
33
(1984), 243-252.
[31]
On noncommutative localization,
J. Algebra
87
(1984), 213-221.
[30]
Maximal torsion radicals over rings with finite reduced rank,
Proceedings of the Twelfth Hudson Symposium,
Lecture Notes in Math. No. 951,
Springer-Verlag, 4l-46 (1982).
[29]
Weak ideal invariance and orders in Artinian rings: Corrigendum,
Bull. Austral. Math. Soc.
25
(1982), 317-320.
[28]
Rings with finite reduced rank,
Comm. Algebra
10
(1982), 1517-1536.
[27]
Stable torsion radicals over FBN rings,
J. Pure and Applied Algebra
24
(1982), 235-244.
[26]
Inversive localization at semiprime Goldie ideals,
Man. Math.
34
(1981), 211-239.
[25]
Weak ideal invariance and orders in Artinian rings,
Bull. Austral. Math. Soc.
23
(1981), 255-264.
[24]
On rings with bounded annihilators,
Pacific J. Math.
95
(1981), 1-10 (with W. D. Blair).
[23]
On inversive localization,
Module Theory (Univ. Washington 1977),
Lecture Notes in Math. No. 700,
Springer-Verlag, pp. 46-56, (1979).
[22]
On localization at an ideal,
Canad. Math. Bull.
22
(1979), 397-401.
[21]
Injective modules with both ascending and descending
chain conditions on annihilators,
Comm. Algebra
6
(1978), 1777-1788.
[20]
Finitely annihilated modules and orders in Artinian rings,
Comm. Algebra
6
(1978), 1-34 (with W. D. Blair).
[19]
On the torsion theoretic support of a module,
Hokkaido Math. J.
6
(1977), 16-27.
[18]
Sur les anneaux FBN a gauche,
Les Annales des Sciences Mathematiques du Quebec
1 (1977), 59-62.
[17]
Some aspects of noncommutative localization,
Noncommutative Ring Theory (Kent State 1975),
Lecture Notes in Math. No. 545,
Springer-Verlag, pp. 2-31. (1976)
[16]
Localization at semiprime ideals,
J. Algebra
38
(1976), 309-314, (with W. D. Blair).
[15]
On Morita's localization,
J. Algebra
38
(1976), 225-243.
[14]
On maximal torsion radicals, III,
Proc. Amer. Math. Soc.
52
(1975), 113-116.
[13]
Rings whose faithful left ideals are cofaithful,
Pacific J. Math.
58
(1975), 1-13 (with W. D. Blair).
[12]
On maximal torsion radicals, II,
Canad. J. Math.
27
(1975), 115-120.
[11]
Perfect quotient functors,
Comm. Algebra
2
(1974), 403-427.
[10]
T-faithful subcategories and localization,
Trans. Amer. Math. Soc.
195
(1974), 61-75.
[9]
Corrigendum: Bicommutators of Cofaithful, fully divisible modules,
Canad. J. Math.
26
(1974), 256.
[8]
On maximal torsion radicals,
Canad. J. Math.
25
(1973), 712-726.
[7]
A characterization of prime ideals,
J. Indian Math. Soc.
37
(1973), 343-345.
[6]
A generalization of injectivity,
Pacific J. Math.
41
(1972), 313-329.
[5]
A characterization of torsion free modules over rings of quotients,
Proc. Amer. Math. Soc.
34
(1972), 15-19.
[4]
Generating and cogenerating structures,
Trans. Amer. Math. Soc.
158
(1971), 75-92.
[3]
Cotorsion radicals and projective modules,
Bull. Austral. Math. Soc.
5
(1971), 241-254.
[2]
Bicommutators of cofaithful, fully divisible modules,
Canad. J. Math.
23
(1971), 202-213.
[1]
On quasi-Artinian rings,
J. London Math. Soc. (2)
3
(1971), 449-452.
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