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
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
Journal title :
Journal of Algebraic Systems
