the concept of (i; j)-cohen macaulay modules

نویسندگان

moharram aghapournahr

khadijeh ahmadi-amoli

miryousef sadeghi

چکیده

‎we introduce a generalization of the notion of‎ depth of an ideal on a module by applying the concept of‎ local cohomology modules with respect to a pair‎ ‎of ideals‎. ‎we also introduce the concept of $(i,j)$-cohen--macaulay modules as a generalization of concept of cohen--macaulay modules‎. ‎these kind of modules are different from cohen--macaulay modules‎, as an example shows‎. ‎also an artinian result for such modules is given‎.

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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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