Keywords
- Direct Summand
- Endomorphism Ring
- Direct Decomposition
- Descend Chain Condition
- Grothendieck Category
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References
F.W. Anderson and K.R. Fuller, Rings and categories of modules, Springer-Verlag, New York-Berlin, 1974.
G. Azumaya, Corrections and supplementaries to my paper concerning Krull-Remak-Schmidt's theorem, Nagoya Math. J. 1 (1950) 117–124.
G. Azumaya, Some characterizations of regular modules, to appear in Publicacions Matemàtiques.
H. Bass, Finitistic dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc. 95 (1960) 466–488.
V.S. Ramamurthi and K.M. Rangaswamy, On finitely injective modules, J. Austral. Math. Soc. 16 (1973) 239–248.
B. Stenström, Direct sum decompositions in Grothendieck categories, Arkiv Math. 7 (1968) 427–432.
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© 1990 Springer-Verlag
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Azumaya, G. (1990). Locally split submodules and modules with perfect endomorphism rings. In: Jain, S.K., López-Permouth, S.R. (eds) Non-Commutative Ring Theory. Lecture Notes in Mathematics, vol 1448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091245
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DOI: https://doi.org/10.1007/BFb0091245
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