Torsion theories and semihereditary rings
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- by Darrell R. Turnidge
- Proc. Amer. Math. Soc. 24 (1970), 137-143
- DOI: https://doi.org/10.1090/S0002-9939-1970-0255601-1
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References
- 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 R. R. Colby and E. A. Rutter Jr., Generalizations of ${\text {QF}}$-$3$ rings (to appear).
- Spencer E. Dickson, A torsion theory for Abelian categories, Trans. Amer. Math. Soc. 121 (1966), 223–235. MR 191935, DOI 10.1090/S0002-9947-1966-0191935-0
- Shizuo Endo, On semi-hereditary rings, J. Math. Soc. Japan 13 (1961), 109–119. MR 138664, DOI 10.2969/jmsj/01320109
- Pierre Gabriel, Des catégories abéliennes, Bull. Soc. Math. France 90 (1962), 323–448 (French). MR 232821
- J. P. Jans, Some aspects of torsion, Pacific J. Math. 15 (1965), 1249–1259. MR 191936
- Irving Kaplansky, A characterization of Prufer rings, J. Indian Math. Soc. (N.S.) 24 (1960), 279–281 (1961). MR 125137
- Lawrence Levy, Torsion-free and divisible modules over non-integral-domains, Canadian J. Math. 15 (1963), 132–151. MR 142586, DOI 10.4153/CJM-1963-016-1
- 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
- Francis L. Sandomierski, Nonsingular rings, Proc. Amer. Math. Soc. 19 (1968), 225–230. MR 219568, DOI 10.1090/S0002-9939-1968-0219568-5
- Darrell R. Turnidge, Torsion theories and rings of quotients of Morita equivalent rings, Pacific J. Math. 37 (1971), 225–234. MR 309985 E. A. Walker and C. Walker, Quotient categories and rings of quotients (to appear).
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 24 (1970), 137-143
- MSC: Primary 16.40
- DOI: https://doi.org/10.1090/S0002-9939-1970-0255601-1
- MathSciNet review: 0255601