Generalized F-Modules and the Associated Primes of Local Cohomology Modules |
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Authors: | Le Thanh Nhan |
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Affiliation: | Department of Mathematics , Thai Nguyen Pedagogical University , Thai Nguyen, Vietnam |
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Abstract: | We introduce a class of modules called generalized f-modules, which contains strictly all f-modules and generalized Cohen–Macaulay modules. The properties of multiplicity, local cohomology modules, localization, completion… of these modules are presented. A result concerning the finiteness of associated primes of local cohomology modules with respect to generalized f-modules is given. Some connections to the coordinate rings of algebraic varieties and Stanley-Reisner rings are considered. |
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Keywords: | Associated primes Generalized f-modules Noetherian dimension |
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