数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (3): 511-514.

• 论文 • 上一篇    下一篇

 EXPLICIT DESCRIPTION OF A CLASS OF INDECOMPOSABLE INJECTIVE MODULES

  


  1. School of Mathematics, Institute for Studies in Theoretical Physics and Mathematics
    P.O.Box 19395-5746, Tehran, Iran.
    School of Mathematics, Institute for Studies in Theoretical Physics and Mathematics
    P.O.Box 19395-5746, Tehran, Iran, and Department of Mathematics, Shahid Beheshti University
    Evin, Tehran 19839, Iran.
  • 出版日期:2005-07-20 发布日期:2005-07-20
  • 基金资助:

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

 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.

摘要:

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.

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

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