EXPLICIT DESCRIPTION OF A CLASS OF INDECOMPOSABLE INJECTIVE MODULES

被引：0

作者：

M.R.Pournaki

M.Tousi

机构：

[1] School of Mathematics Institute for Studies in Theoretical Physics and Mathematics P O Box 19395-5746

[2] Tehran

[3] Iran

[4] School of Mathematics Institute for Studies in Theoretical Physics and Mathematics P.O.Box 19395-5746

[5] and Department of Mathematics

[6] Shahid Beheshti University Evin

[7] Tehran 19839

来源：

ActaMathematicaScientia | 2005年 / 03期

关键词：

Noetherian ring; injective module; indecomposable injective module; injective envelope; weakly locally principal prime ideal;

D O I：

暂无

中图分类号：

O153.3 [环论];

学科分类号：

070104 ;

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）≠0. In this note, the anthors describe the explicit structure of the injective envelope of the R-module R/p.

引用

页码：511 / 514

页数：4

共 7 条

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[2] Dibaei M T,Tousi M.The structure of dualizing complex for a ring which is (S2). Journal of Mathematics of Kyoto University . 1998
[3] Fossum R M.The structure of indecomposable injective modules. Mathematica Scandinavica . 1975
[4] Northcott D G.Injective envelopments and inverse polynomials. Journal of the London Mathematical Society . 1974
[5] Song Y M.Generalized fractions, galois theory and injective envelopes of simple modules over polynomial rings. Journal of the Korean Mathematical Society . 1995
[6] Zakeri H.Action of certain groups on modules of generalized fractions. Bull Iran Math Soc . 1994
[7] Matlis E.Injective modules over noetherian rings. Pacific Journal of Mathematics . 1958

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