AN INTEGRAL DEPENDENCE IN MODULES OVER COMMUTATIVE RINGS
Publish place: Journal of Algebraic Systems، Vol: 3، Issue: 1
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-3-1_002
تاریخ نمایه سازی: 30 آذر 1395
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 isalso 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.
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