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LOCAL COHOMOLOGY MODULES WHICH ARE SUPPORTED ONLY AT FINITELY MANY MAXIMAL IDEALS

Alireza Hajikarimi
대한수학회 (The Korean Mathematical Society)|2010.05|대한수학회지 (Journal of the KMS)|제47권 제3호|pp. 633-643

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참고문헌

키워드

weakly Laskerian modulesassociated prime idealsgeneralized local cohomology modulesweakly Artinian modules
주제분류수학

초록

Let a be an ideal of a commutative Noetherian ring R, M a finitely generated R-module and N a weakly Laskerian R-module. We show that if N has finite dimension d, then AssR[수식] consists of finitely many maximal ideals of R. Also, we find the least integer i, such that [수식] is not consisting of finitely many maximal ideals of R.

Abstract

Let a be an ideal of a commutative Noetherian ring R, M a finitely generated R-module and N a weakly Laskerian R-module. We show that if N has finite dimension d, then AssR[수식] consists of finitely many maximal ideals of R. Also, we find the least integer i, such that [수식] is not consisting of finitely many maximal ideals of R.

참고문헌 (15)

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관련 논문AI추천

CHARACTERIZATION OF WEAKLY COFINITE LOCAL COHOMOLOGY MODULESMarziye Hatamkhani, Moharram Aghapournahr대한수학회 · 대한수학회보2023 · 제60권 제3호ON FINITENESS PROPERTIES ON ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES AND EXT-MODULESLizhong Chu, Xian Wang대한수학회 · 대한수학회지2014 · 제51권 제2호On the Local Cohomology and Formal Local Cohomology ModulesBehruz Sadeghi, Shahram Rezaei경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제1호A new characterization of the weakly Laskerian (FSF) modulesAli Fathi대한수학회 · 대한수학회논문집2025 · 제40권 제3호On the local cohomology of minimax modulesAmir Mafi대한수학회 · 대한수학회보2011 · 제48권 제6호Results of certain local cohomology modulesAmir Mafi, Atiyeh Pour Eshmanan Talemi대한수학회 · 대한수학회보2014 · 제51권 제3호

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