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JOURNALS // Algebra i Analiz // Archive

Algebra i Analiz, 2025 Volume 37, Issue 3, Pages 206–218 (Mi aa1967)

Research Papers

Cominimaxness of generalized local cohomology modules over local rings

N. M. Triab

a Vietnam National University, Ho Chi Minh City, Vietnam
b Department of Mathematics and Physics, University of Information Technology, Ho Chi Minh City, Vietnam

Abstract: Let $(R,\mathfrak{m})$ be a local commutative Noetherian ring and $I$ an ideal of $R$ with $\dim R/I\le 2$ In the case where $N$ is a finitely generated $R$-module, it is shown that $H^t_I(M,N)$ is $I$-cominimax if and only if the Bass numbers of $H^{t}_I(M,N))$ are finite. Some conditions for the $R$-module $H^{p+d-1}_I(M,N)$ to be $I$-cominimax are also provided.

Keywords: Bass numbers, cominimax, generalized local cohomology, weakly Laskerian.

Received: 07.03.2024

Language: English



© Steklov Math. Inst. of RAS, 2025