A torsion theory for Abelian categories
HTML articles powered by AMS MathViewer
- by Spencer E. Dickson
- Trans. Amer. Math. Soc. 121 (1966), 223-235
- DOI: https://doi.org/10.1090/S0002-9947-1966-0191935-0
- PDF | Request permission
References
- S. Balcerzyk, On classes of abelian groups, Fund. Math. 51 (1962/63), 149–178. MR 141713, DOI 10.4064/fm-51-2-149-178
- L. Fuchs, Abelian groups, Publishing House of the Hungarian Academy of Sciences, Budapest, 1958. MR 0106942 P. Freyd, Abelian categories, Mimeographed Notes, Columbia Univ., New York, 1962.
- Pierre Gabriel, Des catégories abéliennes, Bull. Soc. Math. France 90 (1962), 323–448 (French). MR 232821
- Enzo R. Gentile, Singular submodule and injective hull, Nederl. Akad. Wetensch. Proc. Ser. A 65 = Indag. Math. 24 (1962), 426–433. MR 0144938
- Alexander Grothendieck, Sur quelques points d’algèbre homologique, Tohoku Math. J. (2) 9 (1957), 119–221 (French). MR 102537, DOI 10.2748/tmj/1178244839
- Akira Hattori, A foundation of torsion theory for modules over general rings, Nagoya Math. J. 17 (1960), 147–158. MR 137745
- Sze-tsen Hu, Homotopy theory, Pure and Applied Mathematics, Vol. VIII, Academic Press, New York-London, 1959. MR 0106454
- Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. MR 0065561
- 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
- J.-M. Maranda, Injective structures, Trans. Amer. Math. Soc. 110 (1964), 98–135. MR 163937, DOI 10.1090/S0002-9947-1964-0163937-X
- Eben Matlis, Modules with descending chain condition, Trans. Amer. Math. Soc. 97 (1960), 495–508. MR 169879, DOI 10.1090/S0002-9947-1960-0169879-4 E. J. Peake, Jr., Serre classes of Abelian groups, Doctoral dissertation, New Mexico State Univ., University Park, N. M., 1963.
- Carol Peercy Walker, Relative homological algebra and Abelian groups, Illinois J. Math. 10 (1966), 186–209. MR 190210
- E. A. Walker, Quotient categories and quasi-isomorphisms of Abelian groups, Proc. Colloq. Abelian Groups (Tihany, 1963) Akadémiai Kiadó, Budapest, 1963, pp. 147–162. MR 0178069 E. A. Walker and C. Walker, Quotient categories and rings of quotients (to appear).
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 121 (1966), 223-235
- MSC: Primary 18.15; Secondary 18.20
- DOI: https://doi.org/10.1090/S0002-9947-1966-0191935-0
- MathSciNet review: 0191935