John Beachy
Department of Mathematical Sciences
Northern Illinois University

Complete list of publications

Some preprints and papers available online

[45]     [pdf]     Linked prime ideals and orders in Artinian rings, preprint, 10 pp., 2014, to appear in Comm. Alg. (with Christine Leroux)

[44]     [pdf]     On maximal torsion radicals, IV, preprint, 21 pp. (2014) to appear in Comm. Alg.
                [pdf]     Earlier version: Maximal torsion radicals in sigma[M] and minimal prime M-ideals, preprint, 18 pp (2002)

[43]     [pdf]     On maximal radicals and prime M-ideals, preprint, 7 pp (2000), to appear in East-West J. Math

[42]     [pdf]     On reduced rank of triangular matrix rings, J. Algebra Appl. 14 (2015), 9 pp. (with Abby Bailey).
                Abstract at J. Algebra Appl.

[41]     [pdf]     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]     [pdf]     On flatness and the Ore condition, Noncommutative Localization in Algebra and Topology, A. Ranicki, Ed., (2005), 1-4.

[39]     [pdf]     A note on Cohn's universal localization at a semiprime ideal, Bull. Austral. Math. Soc. 69 (2004), 361-367

[38]     [pdf]     M-injective modules and prime M-ideals, Comm. Algebra 30 (2002), 4649-4676.
                [pdf]     Talk on the above paper, All Ireland Algebra Days, May 2001

[37]     [pdf]     A note on additive rank functions, Comm. Algebra 29 (2001), 4919-4922.

[36]     [pdf]     On Universal Localization at Semiprime Goldie Ideals, Ring Theory, Proceedings of the Biennial Ohio State-Denison Conference, May, 1992,
                            S.K. Jain and S. Tariq Rizvi, editors, World Scientific: Singapore, New Jersey, London, Hong Kong, pp. 41-57 (1993).
                [pdf]     Edinburgh conference on Noncommutative Localization in Algebra and Topology, April 2002
                [pdf]     Workshop on rings at Warwick, May 2002

[35]     [pdf]     A note on prime ideals which test injectivity, Comm. Algebra 15 (1987), 471-478, (with Doug Weakley).
                [pdf]     Retyped, with corrections

[34]     [pdf]     Examples in noncommutative localization, J. Algebra 99 (1986), 108-113, (with Bill Blair).

[33]     [pdf]     Piecewise Noetherian Rings, Comm. Algebra 12 (1984), 2679-2706, (with Doug Weakley)
                [pdf]     Retyped, with corrections and corrigendum

[32]     [pdf]     Stable torsion radicals over Noetherian rings, J. Pure and Appl. Algebra 33 (1984), 243-252.

[31]     [pdf]     On noncommutative localization, J. Algebra 87 (1984), 213-221.

[30]     [pdf]     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).

[28]     [pdf]     Rings with finite reduced rank, Comm. Algebra 10 (1982), 1517-1536

[27]     [pdf]     Stable torsion radicals over FBN rings, J. Pure and Applied Algebra 24 (1982), 235-244.

[26]     [pdf]     Inversive localization at semiprime Goldie ideals, Man. Math. 34 (1981), 211-239.
                            Retyped, with corrections and updated terminology and notation

[24]     [pdf]     On rings with bounded annihilators, Pacific J. Math. 95 (1981), 1-10. (with Bill Blair)

[23]     [pdf]     On inversive localization, Module Theory, Seattle, 1977,
                            Lecture Notes in Math. No. 700, Springer-Verlag, pp. 46-56, (1979).
                            Retyped, with updated terminology and notation

[20]     [pdf]     Finitely annihilated modules and orders in Artinian rings, Comm. Algebra 6 (1978), 1-34, (with Bill Blair)

[19]     [pdf]     On the torsion theoretic support of a module, Hokkaido. Math. J. 6 (1977), 16-27
                [pdf]     Scanned copy of the original

[18]     [pdf]     Sur les anneaux FBN a gauche, Les Annales des Sciences Mathematiques du Quebec 1 (1977), 59-62.
                [pdf]     On left FBN rings, (translated from the original French)

[17]     [pdf]     Some aspects of noncommutative localization, Noncommutative Ring Theory, Kent State, 1975,
                            Lecture Notes in Math. No. 545, Springer-Verlag, 2-31 (1976).

[16]     [pdf]     Localization at semiprime ideals, J. Algebra 38 (1976), 309-314, (with Bill Blair).

[15]     [pdf]     On Morita's localization, J. Algebra 38 (1976), 225-243.

[14]     [pdf]     On maximal torsion radicals, III, Proc. Amer. Math. Soc. 52 (1975), 113-116.

[13]     [pdf]     Rings whose faithful left ideals are cofaithful, Pacific J. Math. 58 (1975), 1-13 (with Bill Blair).
                [pdf]     Copy with corrections

[12]     [pdf]     On maximal torsion radicals, II, Canad. J. Math. 27 (1975), 115-120.

[11]     [pdf]     Perfect quotient functors, Comm. Algebra 2 (1974), 403-427.

[10]     [pdf]     T-faithful subcategories and localization, Trans. Amer. Math. Soc. 195 (1974), 61-75.

  [9]     [pdf]     Corrigendum: Bicommutators of Cofaithful, fully divisible modules, Canad. J. Math. 26 (1974), 256.

  [8]     [pdf]     On maximal torsion radicals, Canad. J. Math. 25 (1973), 712-726.

  [7]     [pdf]     A characterization of prime ideals, J. Indian Math. Soc. 37 (1973), 343-345. (with comments)

  [6]     [pdf]     A generalization of injectivity, Pacific J. Math. 41 (1972), 313-329.

  [5]     [pdf]     A characterization of torsion free modules over rings of quotients, Proc. Amer. Math. Soc. 34 (1972), 15-19.

  [4]     [pdf]     Generating and cogenerating structures, Trans. Amer. Math. Soc. 158 (1971), 75-92.

  [2]     [pdf]     Bicommutators of cofaithful, fully divisible modules, Canad. J. Math. 23 (1971), 202-213.

  [0]     [pdf]     Some homological classes of rings and modules, Thesis, Indiana University, 1967

Indexed by OSTI eprints

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