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On quasi-projective modules via relative projectivity. (English) Zbl 0208.04501


MSC:

16D40 Free, projective, and flat modules and ideals in associative algebras
16D80 Other classes of modules and ideals in associative algebras
Full Text: DOI

References:

[1] H. Bass, Finitistic dimension and a homological generalization of semi-primary rings. Trans. Amer. Math. Soc.95, 466-488 (1960). · Zbl 0094.02201 · doi:10.1090/S0002-9947-1960-0157984-8
[2] N.Bouebaki, Alg?bre commutative, Chap. 1. Paris 1961.
[3] S. U. Chase, Direct Products of modules. Trans. Amer. Math. Soc.97, 457-473 (1960). · Zbl 0100.26602 · doi:10.1090/S0002-9947-1960-0120260-3
[4] B. Eckmann undA. Schopf, ?ber injektive Moduln. Arch. Math.4, 75-78 (1953). · Zbl 0050.25904 · doi:10.1007/BF01899665
[5] C.Faith, Reviewof [10]. Math. Rev.36, no. 3817 (1968).
[6] C. Faith andE. A. Walker, Direct-sum representations of injective modules. J. Algebra5, 203-222 (1967). · Zbl 0173.03203 · doi:10.1016/0021-8693(67)90035-X
[7] K. R. Fuller, On direct representations of quasi-injectives and quasi-projectives. Arch. Math.20, 495-502 (1969). · Zbl 0188.08904 · doi:10.1007/BF01899456
[8] K. Morita, OnS-rings in the sense of F. Kasch. Nagoya Math. J.22, 687-695 (1966). · Zbl 0139.25804
[9] ?. de Robert, Projectifs et injectifs relatifs. C. R. Acad. Sci. Paris S?r. A?B286, Ser. A, 361-364 (1969). · Zbl 0169.32801
[10] L. E. T. Wu andJ. P. Jans, On quasi-projectives. Illinois J. Math.11, 439-448 (1967). · Zbl 0153.06301
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