Nonsingular rings
HTML articles powered by AMS MathViewer
- by Francis L. Sandomierski
- Proc. Amer. Math. Soc. 19 (1968), 225-230
- DOI: https://doi.org/10.1090/S0002-9939-1968-0219568-5
- PDF | Request permission
References
- Hyman Bass, Finitistic dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc. 95 (1960), 466–488. MR 157984, DOI 10.1090/S0002-9947-1960-0157984-8
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- Stephen U. Chase, Direct products of modules, Trans. Amer. Math. Soc. 97 (1960), 457–473. MR 120260, DOI 10.1090/S0002-9947-1960-0120260-3
- Shizuo Endo, On flat modules over commutative rings, J. Math. Soc. Japan 14 (1962), 284–291. MR 179226, DOI 10.2969/jmsj/01430284
- G. D. Findlay and J. Lambek, A generalized ring of quotients. I, II, Canad. Math. Bull. 1 (1958), 77–85, 155–167. MR 94370, DOI 10.4153/CMB-1958-009-3
- Enzo R. Gentile, Singular submodule and injective hull, Indag. Math. 24 (1962), 426–433. Nederl. Akad. Wetensch. Proc. Ser. A 65. MR 0144938
- A. W. Goldie, The structure of prime rings under ascending chain conditions, Proc. London Math. Soc. (3) 8 (1958), 589–608. MR 103206, DOI 10.1112/plms/s3-8.4.589
- A. W. Goldie, Semi-prime rings with maximum condition, Proc. London Math. Soc. (3) 10 (1960), 201–220. MR 111766, DOI 10.1112/plms/s3-10.1.201
- A. W. Goldie, Torsion-free modules and rings, J. Algebra 1 (1964), 268–287. MR 164991, DOI 10.1016/0021-8693(64)90023-7
- Francis L. Sandomierski, Semisimple maximal quotient rings, Trans. Amer. Math. Soc. 128 (1967), 112–120. MR 214624, DOI 10.1090/S0002-9947-1967-0214624-3
Bibliographic Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 225-230
- MSC: Primary 16.40; Secondary 13.00
- DOI: https://doi.org/10.1090/S0002-9939-1968-0219568-5
- MathSciNet review: 0219568