EXPLICIT DESCRIPTION OF A CLASS OF INDECOMPOSABLE INJECTIVE MODULES  

EXPLICIT DESCRIPTION OF A CLASS OF INDECOMPOSABLE INJECTIVE MODULES

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作  者:M.R.Pournaki M.Tousi 

机构地区:[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  处:《Acta Mathematica Scientia》2005年第3期511-514,共4页数学物理学报(B辑英文版)

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

关 键 词:Noetherian ring injective module indecomposable injective module injective envelope weakly locally principal prime ideal 

分 类 号:O153.3[理学—数学]

 

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