On the cofiniteness of generalized local cohomology modules with respect to the class of modules in dimension less than a fixed integer
Sign Up to like & getrecommendations! Published in 2021 at "Communications in Algebra"
DOI: 10.1080/00927872.2021.1897831
Abstract: Abstract Let n and t be non-negative integers, R a commutative Noetherian ring with an ideal of R, M and N finite R-modules, and X an arbitrary R-module. We prove that if is an R-module… read more here.
Keywords: modules respect; module; local cohomology; generalized local ... See more keywords
Some splitting theorems for local cohomology modules with respect to a pair of ideals
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498821500158
Abstract: Suppose that R is a commutative ring with identity, I, J are ideals of R, and let M be a finitely generated R-module. Let HI,Ji(−) be the ith local cohomology functor with respect to (I,J).… read more here.
Keywords: theorems local; splitting theorems; modules respect; local cohomology ... See more keywords