Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (3): 511-514.

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 EXPLICIT DESCRIPTION OF A CLASS OF INDECOMPOSABLE INJECTIVE MODULES

  

  • Online:2005-07-20 Published:2005-07-20
  • Supported by:

    This research is in part supported by a grant from
    IPM.

Abstract:

Let R be a commutative Noetherian ring and p be a prime ideal of R such
that the ideal pRp is principal and ht(p) 6= 0. In this note, the anthors describe the explicit
structure of the injective envelope of the R-module R=p.

Key words:  Noetherian ring, injective module;indecomposable injective module, injec-
tive envelope,
weakly locally principal prime ideal

CLC Number: 

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