Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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Direct sum decompositions of indecomposable injective modules

  • Lee, Sang-Cheol (Department of Mathematics Education, Chonbuk National University, Chonju, Chonbuk 561-756)
  • Published : 1998.02.01
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Abstract

Matlis posed the following question in 1958: if N is a direct summand of a direct sum M of indecomposable injectives, then is N itself a direct sum of indecomposable innjectives\ulcorner It will be proved that the Matlis problem has an affirmative answer when M is a multiplication module, and that a weaker condition then that of M being a multiplication module can be given to module M when M is a countable direct sum of indecomposable injectives.

Keywords

References

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