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On von Neumann regular rings. III. (English) Zbl 0414.16006

MSC:
16E50 von Neumann regular rings and generalizations (associative algebraic aspects)
16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
16Dxx Modules, bimodules and ideals in associative algebras
16P60 Chain conditions on annihilators and summands: Goldie-type conditions
16D40 Free, projective, and flat modules and ideals in associative algebras
16D50 Injective modules, self-injective associative rings
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References:
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[2] Bass, H.: Finitistic dimension and a homological generalisation of semi-primary rings. Trans. Amer. Math. Soc.95, 466–488 (1960). · Zbl 0094.02201 · doi:10.1090/S0002-9947-1960-0157984-8
[3] Chase, S.: Direct product of modules. Trans. Amer. Math. Soc.97, 457–473 (1960). · Zbl 0100.26602 · doi:10.1090/S0002-9947-1960-0120260-3
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[6] Utumi, Y.: On continuous regular rings and semi-simple, self-injective rings. Canad. J. Math.12, 597–605 (1960). · Zbl 0100.26303 · doi:10.4153/CJM-1960-053-9
[7] Utumi, Y.: On continuous rings and self-injective rings. Trans. Amer. Math. Soc.118, 158–173 (1965). · Zbl 0144.27301 · doi:10.1090/S0002-9947-1965-0174592-8
[8] Yue Chi Ming, R.: On von Neumann regular rings. Proc. Edinburgh Math. Soc.19, 89–91 (1974). · Zbl 0268.16007 · doi:10.1017/S0013091500015418
[9] Yue Chi Ming, R.: On von Neumann regular rings, II. Math. Scand.39, 167–170 (1976). · Zbl 0344.16011
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