Modules whose finiteness dimensions coincide with their cohomological dimensions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2021.106900
Abstract: Abstract Let a be an ideal of a commutative Noetherian ring R with identity. We study finitely generated R-modules M whose a -finiteness and a -cohomological dimensions are equal. In particular, we examine relative analogues… read more here.
Keywords: whose finiteness; finiteness dimensions; modules whose; coincide cohomological ... See more keywords
On a category of chains of modules whose endomorphism rings have at most 2n maximal ideals
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Algebra"
DOI: 10.1080/00927872.2017.1372459
Abstract: ABSTRACT We describe the endomorphism rings in an additive category whose objects are right R-modules M with a fixed chain of submodules and the behavior of these objects as far as their direct sums are… read more here.
Keywords: category chains; endomorphism rings; endomorphism; modules whose ... See more keywords
Modules Whose Endomorphism Rings Are (m, n)-Coherent
Sign Up to like & getrecommendations! Published in 2019 at "Algebra Colloquium"
DOI: 10.1142/s100538671900018x
Abstract: Let M be a right R-module with endomorphism ring S. We study the left (m, n)-coherence of S. It is shown that S is a left (m, n)-coherent ring if and only if the left… read more here.
Keywords: coherent; whose endomorphism; endomorphism rings; modules whose ... See more keywords