RUS  ENG
Полная версия
ЖУРНАЛЫ // Математические заметки // Архив

Матем. заметки, 2021, том 110, выпуск 1, страницы 102–112 (Mi mzm13200)

Статьи, опубликованные в английской версии журнала

Some Properties of Local Cohomology Modules Defined by a Pair of Ideals

Nguyen Minh Triab, Tran Tuan Namc, Nguyen Thanh Namd

a Vietnam National University, Ho Chi Minh City, 700000 Vietnam
b Department of Mathematics and Physics, University of Information Technology, Ho Chi Minh City, 700000 Vietnam
c Department of Mathematics-Informatics, Ho Chi Minh University of Education, Ho Chi Minh City, 700000 Vietnam
d Faculty of Mathematics & Computer Science, University of Science, VNU-HCM, Ho Chi Minh City, 700000 Vietnam

Аннотация: Let $R$ be a commutative Noetherian ring with identity and $I,J$ two ideals of $R.$ We introduce the concept of $(I,J)$-coweakly Laskerian modules and study their properties concerning to local cohomology modules with respect to a pair of ideals. We also study some properties of the local cohomology modules with support contained in $\mathrm{Max}(R)$ and the relationships on the weakly Artinianness of the modules $H^i_{I,J}(M)$ and $H^i_I(M)$.

Ключевые слова: local cohomology, weakly Laskerian, weakly Artinian.

Поступило: 27.03.2020
Исправленный вариант: 20.01.2021

Язык публикации: английский


 Англоязычная версия: Mathematical Notes, 2021, 110:1, 100–109

Реферативные базы данных:


© МИАН, 2024