AN INTEGRAL DEPENDENCE IN MODULES OVER COMMUTATIVE RINGS
نویسندگان
چکیده مقاله:
In this paper, we give a generalization of the integral dependence from rings to modules. We study the stability of the integral closure with respect to various module theoretic constructions. Moreover, we introduce the notion of integral extension of a module and prove the Lying over, Going up and Going down theorems for modules.
منابع مشابه
an integral dependence in modules over commutative rings
in this paper, we give a generalization of the integral dependence from rings to modules. we study the stability of the integral closure with respect to various module theoretic constructions. moreover, we introduce the notion of integral extension of a module and prove the lying over, going up and going down theorems for modules.
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عنوان ژورنال
دوره 3 شماره 1
صفحات 11- 22
تاریخ انتشار 2015-06-01
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