Some splitting theorems for local cohomology modules with respect to a pair of ideals

Naal Batoul; Khashyarmanesh Kazem

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Some splitting theorems for local cohomology modules with respect to a pair of ideals

机译：关于一对理想的局部同音模块的一些分解定理

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摘要

Suppose that R is a commutative ring with identity, I, J are ideals of R, and let M be a finitely generated R-module. Let H-I,J(i)(-) be the ith local cohomology functor with respect to (I, J). In this paper, for fixed integers t and j, we study the existence of the following isomorphisms of local cohomology modules:

机译：假设R是一个具有恒等式的交换环，I，J是R的理想，M是一个有限生成的R-模。设H-I，J（I）（）是关于（I，J）的第I个局部上同调函子。在本文中，对于固定整数t和j，我们研究了局部上同调模的以下同构的存在性：

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来源
《Journal of algebra and its applications》 |2021年第2期|共14页
作者
Naal Batoul; Khashyarmanesh Kazem;
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作者单位

Ferdowsi Univ Mashhad Fac Math Sci Dept Pure Math POB 1159-91775 Mashhad Razavi Khorasan Iran;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Local cohomology with respect to a pair of ideals; filter regular element;

机译：关于一对理想的局部协调;过滤常规元素;

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1. Lower Bounds for Local Cohomology Modules with Respect to a Pair of Ideals [J] . M.Lotfi Parsa, Sh.Payrovi 代数集刊（英文版） . 2016,第002期
2. Lower Bounds for Local Cohomology Modules with Respect to a Pair of Ideals [J] . M. Lotfi Parsa1, Sh. Payrovi2 代数集刊：英文版 . 2016,第002期
3. Filter Depth and Cofiniteness of Local Cohomology Modules Defined by a Pair of Ideals [J] . Abolfazl Tehranian, Atiyeh Pour Eshmanan Talemi 代数集刊：英文版 . 2014,第004期
4. A Note on the Artinianness and Vanishing of Local Cohomology and Generalized Local Cohomology Modules [J] . K.Khashyarmanesh, F.Khosh-Ahang 代数集刊（英文版） . 2009,第003期
5. On the Finiteness Results of Generalized Local Cohomology Modules with Respect to a Pair of Ideals [J] . Tran Tuan Nam, Nguyen Minh Tri Taiwanese journal of mathematics . 2018,第1期

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6. Bass numbers of generalized local cohomology modules with respect to a pair of ideals [J] . M. Lotfi Parsa Asian-European journal of mathematics . 2018,第2期

机译：关于一对理想的广义局部混像模块的低音数量
7. On the Finiteness Results of Generalized Local Cohomology Modules with Respect to a Pair of Ideals [J] . Tran Tuan Nam, Nguyen Minh Tri Taiwanese journal of mathematics . 2018,第1期

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9. Local Cohomology and Regularity of Powers of Monomial Ideals [D] . O'Rourke, Jonathan. 2020

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10. Cohomology and the Riemann-Roch Theorem [O] . D. C. Spencer 1953

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11. Some Results on Local Cohomology Modules with Respect to a Pair of Ideals [O] . Tran Tuan Nam, Nguyen Minh Tri 2016

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12. Local BRST cohomology in the antifield formalism. Pt. 1. General theorems [R] . Barnich, G. , Henneaux, M. , Brandt, F. 1994

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Some splitting theorems for local cohomology modules with respect to a pair of ideals

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