Let $ n $ be a non-negative integer, $ R $ a commutative Noetherian ring, $\mathfrak {a} $
an ideal of $ R $, $ M $ a finitely generated $ R $-module, and $ X $ an arbitrary $ R …

Let R be a commutative Noetherian ring with nonzero identity, 𝔞 an ideal of R, M a finite R–
module, X an arbitrary R–module, and na non-negative integer. Here, we show that, in the …

Let R be a commutative Noetherian ring and I, J two ideals of R. Let M be a finitely
generated R-module; it is shown that (1) if dimR/(I+ J)= 0, then Hi I, J (M)/JHi I, J (M) is I …

Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R, M a finitely
generated R-module with finite Krull dimension d, and na non-negative integer. In this …

Let $ R $ be a commutative Noetherian ring, $\fa $ an ideal of $ R $, $ M $ an arbitrary $ R $-
module and $ X $ a finite $ R $-module. We prove that the category of $\fa $-cominimax …

Let R be a commutative Noetherian ring, Φ a system of ideals of R, a∈ Φ, M an arbitrary R-
module and ta non-negative integer. Let S be a Melkersson subcategory of R-modules …

Let n and t be non-negative integers, R a commutative Noetherian ring with dim (R)≤ n+ 2,
a an ideal of R, M and N finite R-modules, and X an arbitrary R-module. We prove that if Ext …

Let R be a commutative Noetherian ring, \mathfraka be an ideal of R, n be a non-negative
integer, X be an arbitrary R-module and L be a finitely generated R-module. We characterize …

Abstract‎ Let $ n $ be a non-negative integer‎,‎ $ R $ a commutative Noetherian ring with $\dim
(R)\leq n‎+‎ 2$‎,‎ $\mathfrak {a} $ an ideal of $ R $‎,‎ and $ X $ an arbitrary $ R $-module‎.‎ In this …

Let R be a commutative Noetherian ring with non-zero identity, na non-negative integer, 𝔞
an ideal of R with dim (R/𝔞)≤ n+ 1, and X an arbitrary R-module. In this paper, we prove the …