the concept of (i; j)-cohen macaulay modules
نویسندگان
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.
منابع مشابه
THE CONCEPT OF (I; J)-COHEN MACAULAY MODULES
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 art...
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عنوان ژورنال:
journal of algebraic systemsناشر: shahrood university of technology
ISSN 2345-5128
دوره 3
شماره 1 2015
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