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Exchange rings and decompositions of modules. (English) Zbl 0228.16012


MSC:

16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
16G99 Representation theory of associative rings and algebras
16E50 von Neumann regular rings and generalizations (associative algebraic aspects)
16L30 Noncommutative local and semilocal rings, perfect rings
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References:

[1] Bass, H.: Finitistic Homological 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] Crawley, P., J?nsson, B.: Refinements for Infinite Direct Decompositions of Algebraic Systems, Pacific J. Math.14, 797-855 (1964). · Zbl 0134.25504
[3] Fuchs, L.: On quasi-injective modules, (to appear). · Zbl 0191.03803
[4] Kaplansky, I.: Projective Modules, Ann. Math.68, 372-377 (1958). · Zbl 0083.25802 · doi:10.2307/1970252
[5] Pierce, R. S.: Modules over Commutative Regular Rings, Mem. Amer. Math. Soc.70 (1967). · Zbl 0152.02601
[6] Warfield, R. B., Jr.: A Krull-Schmidt Theorem for Infinite Sums of Modules, Proc. Amer. Math. Soc.22, 460-465 (1969). · Zbl 0176.31401 · doi:10.1090/S0002-9939-1969-0242886-2
[7] ?? Decompositions of Injective Modules, Pacific J. Math.31, 263-276 (1969). · Zbl 0185.04102
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