Ideal transforms and local cohomology defined by a pair of ideals

Chu L. Z.; Jorge Perez V. H.; Lima P. H.

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Ideal transforms and local cohomology defined by a pair of ideals

机译：由一对理想定义的理想变换和局部作战学

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In this paper, we introduce a generalization of the ordinary ideal transform, denoted by D-I,D- J, which is called the ideal transform with respect to a pair of ideals (I, J) and has an apparent algebraic structure. Then we study its various properties and explore the connection with the ordinary ideal transform. Also, we discuss the associated primes of local cohomology modules with respect to a pair of ideals. In particular, we give a characterization for the associated primes of the nonvanishing generalized local cohomology modules.

机译：在本文中，我们介绍了普通的理想变换的概括，由D-I，D-J表示，该D-10表示相对于一对理想（I，J）并具有明显的代数结构。然后我们研究其各种属性并探索与普通理想变换的连接。此外，我们对一对理想讨论了局部同学模块的相关素材。特别地，我们对非捕获的广义局部混乱模块的相关素质进行了表征。

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来源
《Journal of algebra and its applications》 |2018年第10期|共20页
作者
Chu L. Z.; Jorge Perez V. H.; Lima P. H.;
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作者单位

Soochow Univ Dept Math Suzhou Peoples R China;

Univ Sao Paulo ICMC Sao Paulo Brazil;

Univ Fed Maranhao BR-65065545 Sao Luis MA Brazil;

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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; ideal transforms; associated primes;

机译：局部作战;理想的变换;相关的素数;

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1. Ideal transforms and local cohomology defined by a pair of ideals [J] . Chu L. Z., Jorge Perez V. H., Lima P. H. Journal of algebra and its applications . 2018,第10期

机译：由一对理想定义的理想变换和局部作战学
2. 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

机译：由一对理想值定义的局部同调模块的滤波器深度和确定性
3. Finiteness of Local Cohomology Modules Defined by a Pair of Ideals [J] . Payrovi S., Lotfi Parsa M. Communications in algebra . 2013,第2期

机译：由一对理想定义的局部同调模块的有限性
4. An Algorithm for Computing the Truncated Annihilating Ideals for an Algebraic Local Cohomology Class [C] . Takafumi Shibuta, Shinichi Tajima International workshop on computer algebra in scientific computing . 2014

机译：计算代数局部同调类的截断An灭理想的算法
5. Local Cohomology and Regularity of Powers of Monomial Ideals [D] . O'Rourke, Jonathan. 2020

机译：单体理想权力的局部同学与规律
6. Correction: Utilizing the bioorthogonal base-pairing system of l-DNA to design ideal DNA nanocarriers for enhanced delivery of nucleic acid cargos [O] . Kyoung-Ran Kim, Taemin Lee, Byeong-Su Kim, 2015

机译：校正：利用l-DNA的生物正交碱基配对系统设计理想的DNA纳米载体以增强核酸货物的递送
7. On the associated prime ideals of local cohomology modules defined by a pair of ideals [O] . Amoli, Kh. Ahmadi, Habibi, Z., Jahangiri, M. 2015

机译：关于由a定义的局部上同调模块的关联素理想一对理想
8. Local Solution for the Flow of an Ideal Fluid Near a Separation Line (Lokal'noe Reshenie V Okrestnosti Linii Otryva Potoka Ideal'noi Zhidkosti). [R] . Malanichev, V. A. 1990

机译：理想流体在分离线附近流动的局部解决方案（Lokal'noe Reshenie V Okrestnosti Linii Otryva potoka Ideal'noi Zhidkosti）。

Ideal transforms and local cohomology defined by a pair of ideals

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