Title of article
AN INTEGRAL DEPENDENCE IN MODULES OVER COMMUTATIVE RINGS
Author/Authors
Karimzadeh، Somayeh نويسنده Department of Mathematics, Vali-e-Asr University of Rafsanjan , P.O.Box 7718897111, Rafsanjan, Iran. , , Nekooei، Reza نويسنده Department of Mathematics, Shahid Bahonar University of Kerman, P.O.Box 76169133, Kerman, Iran. ,
Issue Information
دوفصلنامه با شماره پیاپی 0 سال 2015
Pages
12
From page
11
To page
22
Abstract
In this paper, a generalization of the integral depen-
dence of rings on modules is given. The stability of the integral
closure with respect to various module theoretic constructions is
also studied. Moreover, the notion of integral extension of a mod-
ule is introduced, and the Lying over, Going up and Going down
theorems for modules are proved.
Journal title
Journal of Algebraic Systems
Serial Year
2015
Journal title
Journal of Algebraic Systems
Record number
2388980
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