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Locally split submodules and modules with perfect endomorphism rings

Part of the Lecture Notes in Mathematics book series (LNM,volume 1448)

Keywords

  • Direct Summand
  • Endomorphism Ring
  • Direct Decomposition
  • Descend Chain Condition
  • Grothendieck Category

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References

  1. F.W. Anderson and K.R. Fuller, Rings and categories of modules, Springer-Verlag, New York-Berlin, 1974.

    CrossRef  MATH  Google Scholar 

  2. G. Azumaya, Corrections and supplementaries to my paper concerning Krull-Remak-Schmidt's theorem, Nagoya Math. J. 1 (1950) 117–124.

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  3. G. Azumaya, Some characterizations of regular modules, to appear in Publicacions Matemàtiques.

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  4. H. Bass, Finitistic dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc. 95 (1960) 466–488.

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  5. V.S. Ramamurthi and K.M. Rangaswamy, On finitely injective modules, J. Austral. Math. Soc. 16 (1973) 239–248.

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  6. 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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53164-7

  • Online ISBN: 978-3-540-46745-8

  • eBook Packages: Springer Book Archive