an integral dependence in modules over commutative rings

نویسندگان

somayeh karimzadeh

reza nekooei

چکیده

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:
journal of algebraic systems

ناشر: shahrood university of technology

ISSN 2345-5128

دوره 3

شماره 1 2015

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