John Beachy

Department of Mathematical Sciences

Northern Illinois University

**Abstract Algebra: Study Guide**,

CreateSpace, an Amazon.com compamy, 268 pp., 2013.

**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

[45]
Linked prime ideals and orders in Artinian rings,

preprint, 10 pp. (2014),
to appear in
*Comm. Alg.*
(with Christine Leroux)

[44]
On maximal torsion radicals, IV,

*Comm. Alg.*
**44** (2016), 1181-1195.

[43]
On maximal radicals and prime M-ideals,

7 pp (2000),
to appear in *East-West J. Math.*

[42]
On reduced rank of triangular matrix rings,

*J. Algebra Appl.*
**14** (2015), 9 pp.
(with Abby Bailey).

[41]
Prime M-ideals, M-prime submodules, M-prime radical
and M-Baer's lower nilradical of modules,

*J. Korean Math. Soc.*
**50** (2013), 1271-1290.
(with Mahmood Behboodi and Faezeh Yazdi)

[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 Doug Weakley).

[34]
Examples in noncommutative localization,

* J. Algebra *
** 99 **
(1986), 108-113, (with Bill Blair).

[33]
Piecewise Noetherian rings,

* Comm. Algebra *
** 12 **
(1984), 2679-2706, (with Doug 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 Bill 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 Bill 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 Bill 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 Bill 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.

[0]
Some homological classes of rings and modules,

Thesis, Indiana University,
1967, 57 pp.

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