Injective modules and torsion functors

PH Quy, F Rohrer - Communications in Algebra, 2017 - Taylor & Francis
ABSTRACT A commutative ring is said to have ITI with respect to an ideal 𝔞 if the 𝔞-torsion
functor preserves injectivity of modules. Classes of rings with ITI or without ITI with respect to …

Some results on top local cohomology and top formal local cohomology modules

S Rezaei - Communications in Algebra, 2017 - Taylor & Francis
Let (R, 𝔪) be a complete noetherian local ring and M a finitely generated R-module of
dimension n and 𝔞 an ideal of R. At first, we find a relation between top local cohomology …

[图书][B] On a Notion of Cohen-Macaulay and the Non-vanishing of Čech Cohomology Modules

AJ Walker - 2017 - search.proquest.com
In this paper, we study the Cohen-Macaulay property of a general commutative ring with
unity defined by Hamilton and Marley. We give sufficient conditions on pullback …

[PDF][PDF] TIGHT CLOSURE OF IDEALS RELATIVE TO SOME MODULES

F Dorostkar, R Khosravi - Honam Mathematical Journal, 2017 - koreascience.kr
TIGHT CLOSURE OF IDEALS RELATIVE TO SOME MODULES F. Dorostkar and R. Khosravi
1. Introduction Throughout this paper R denotes a Page 1 Honam Mathematical J. 39 (2017) …