Published papers, preprints, and some presentations
General presentations on universal localization at semiprime Goldie ideals
UCCS, Colorado Springs, November 2017
UNAM, Mexico City, May 2017
UCCS, Colorado Springs, December 2015
[49] Modules which satisfy Gabriel's condition H, Comm. Algebra 49 (2021), 3283-3293, (with Yaser Tolooei).
Summary of the paper
Presentation, Ohio State-Denison Conference, Columbus, May 2018
[48] Fully prime modules and fully semiprime modules, Bull. Korean Math. Soc. 57 (2020), 1177-1193, (with Mauricio Medina-Barcenas).
[47] On universal localization of Noetherian rings, Advances in rings and modules, Contemp. Math. 715, Amer. Math. Soc. (2018), 59-67, (with Christine Leroux).
Presentation, Ohio State-Denison Conference, Columbus, May 2016
[46] On noncommutative piecewise Noetherian rings, Comm. Alg. 45 no. 6 (2017), 2662-2672, (with Abby Bailey).
Presentation, Ohio State-Denison Conference, Columbus, May 2014
[45] Linked prime ideals and orders in Artinian rings, Comm. Alg. 44 no. 8 (2016), 3301-3307, (with Christine Leroux).
[44] On maximal torsion radicals, IV, Comm. Alg. 44 no. 3 (2016), 1181-1195.
2002 version: Maximal torsion radicals in sigma[M] and minimal prime M-ideals, 18 pp.
[43] On reduced rank of triangular matrix rings, J. Algebra Appl. 14 (2015), 9 pp. (with Abby Bailey).
[42] 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).
[41] On flatness and the Ore condition, Noncommutative Localization in Algebra and Topology, A. Ranicki, Ed., (2005), 1-4.
[40] A note on Cohn's universal localization at a semiprime ideal, Bull. Austral. Math. Soc. 69 (2004), 361-367.
[39] On maximal radicals and prime M-ideals, preprint (2000), 7 pp, to appear in East-West J. Math.
[38] M-injective modules and prime M-ideals, Comm. Algebra 30 (2002), 4649-4676.
Talk, All Ireland Algebra Days, Belfast, May 2001
[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, S.K. Jain and S. Tariq Rizvi, editors, World Scientific: pp. 41-57 (1993).
Talk, Noncommutative Localization in Algebra and Topology, Edinburgh, April 2002
Talk, Workshop on rings, Warwick, May 2002
[35] A note on prime ideals which test injectivity, Comm. Algebra 15 (1987), 471-478, (with Doug Weakley).
Retyped, with corrections
[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).
Retyped, with corrections and corrigendum
[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.
Retyped, with corrections and updated terminology and notation.
[25] Weak ideal invariance and orders in Artinian rings, Bull. Austral. Math. Soc. 23 (1981), 255-264.
(See [29] for corrections.)
[24] On rings with bounded annihilators, Pacific J. Math. 95 (1981), 1-10, (with Bill Blair).
[23] 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.)
[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.
Retyped, in LaTeX
[18] Sur les anneaux FBN a gauche, Les Annales des Sciences Mathematiques du Quebec 1 (1977), 59-62.
On left FBN rings, (translated from the original French).
[17] Some aspects of noncommutative localization, Noncommutative Ring Theory, Kent State, 1975, Lecture Notes in Math. No. 545, Springer-Verlag, 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).
Corrected copy
[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.
Retyped in LaTeX, (with comments)
[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.
(See [9] for corrections.)
[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