A uniform bound of reducibility index of good parameter ideals for certain class of modules |
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Authors: | Tran Duc Dung Le Thanh Nhan |
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Affiliation: | Thai Nguyen College of Science, Thai Nguyen, Viet Nam |
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Abstract: | Let be a Noetherian local ring and M a finitely generated R-module. The invariants and of M were introduced in [3] and [17] in order to measure the non-Cohen–Macaulayness and the non-sequential-Cohen–Macaulayness of M, respectively. Let be the filtration of M such that is the largest submodule of M of dimension less than for all and . In this paper we prove that if , then there exists a constant c such that for all good parameter ideals of M with respect to this filtration. Here is the reducibility index of on M. This is an extension of the main results of [19], [20], [24]. |
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Keywords: | 13A15 13H10 13D45 Reducibility index Good parameter ideal Sequential polynomial type Local cohomology modules |
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