Characterization of rings using quasiprojective modules. II
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- by Jonathan S. Golan PDF
- Proc. Amer. Math. Soc. 28 (1971), 337-343 Request permission
Abstract:
Semiperfect rings, semihereditary rings, and hereditary rings, are characterized by properties of quasiprojective modules over their matrix rings.References
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480 R. R. Colby and E. A. Rutter Jr., Generalizations of QF-$3$ rings, Trans. Amer. Math. Soc. (to appear).
- K. R. Fuller and D. A. Hill, On quasi-projective modules via relative projectivity, Arch. Math. (Basel) 21 (1970), 369–373. MR 272815, DOI 10.1007/BF01220931
- Jonathan S. Golan, Characterization of rings using quasiprojective modules, Israel J. Math. 8 (1970), 34–38. MR 263867, DOI 10.1007/BF02771548
- S. M. Kaye, Ring theoretic properties of matrix rings, Canad. Math. Bull. 10 (1967), 365–374. MR 213395, DOI 10.4153/CMB-1967-034-3
- Yôichi Miyashita, Quasi-projective modules, perfect modules, and a theorem for modular lattices, J. Fac. Sci. Hokkaido Univ. Ser. I 19 (1966), 86–110. MR 0213390
- Étienne de Robert, Projectifs et injectifs relatifs. Applications, C. R. Acad. Sci. Paris Sér. A-B 268 (1969), A361–A364 (French). MR 244349
- L. E. T. Wu and J. P. Jans, On quasi projectives, Illinois J. Math. 11 (1967), 439–448. MR 220765
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 337-343
- MSC: Primary 16.90
- DOI: https://doi.org/10.1090/S0002-9939-1971-0280551-5
- MathSciNet review: 0280551