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AN INTEGRAL DEPENDENCE IN MODULES OVER COMMUTATIVE RINGS
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نویسنده
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Karimzadeh Somayeh ,Nekooei Reza
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منبع
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journal of algebraic systems - 2015 - دوره : 3 - شماره : 1 - صفحه:11 -22
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چکیده
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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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کلیدواژه
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Prime submodule ,Integral element ,Integrally closed
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آدرس
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vali-e-asr university of rafsanjan, Department of Mathematics, ایران, shahid bahonar university of kerman, Department of Mathematics, ایران
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Authors
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