Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300593114> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W4300593114 abstract "Let $mathfrak{a}$ be an ideal of a commutative noetherian ring $R$ and $M$ an $R$-module with Cosupport in $mathrm{V}(mathfrak{a})$. We show that $M$ is $mathfrak{a}$-coartinian if and only if $mathrm{Ext}_{R}^{i}(R/mathfrak{a},M)$ is artinian for all $0leq ileq mathrm{cd}(mathfrak{a},M)$, which provides a computable finitely many steps to examine $mathfrak{a}$-coartinianness. We also consider the duality of Hartshorne's questions: for which rings $R$ and ideals $mathfrak{a}$ are the modules $mathrm{H}^{mathfrak{a}}_{i}(M)$ $mathfrak{a}$-coartinian for all $igeq 0$; whether the category $mathcal{C}(R,mathfrak{a})_{coa}$ of $mathfrak{a}$-coartinian modules is an Abelian subcategory of the category of all $R$-modules, and establish affirmative answers to these questions in the case $mathrm{cd}(mathfrak{a},R)leq 1$ and $mathrm{dim}R/mathfrak{a}leq 1$." @default.
- W4300593114 created "2022-10-03" @default.
- W4300593114 creator A5038059781 @default.
- W4300593114 creator A5050909682 @default.
- W4300593114 creator A5051475408 @default.
- W4300593114 date "2021-10-25" @default.
- W4300593114 modified "2023-09-27" @default.
- W4300593114 title "Coartinianess of local homology modules for ideals of small dimension" @default.
- W4300593114 doi "https://doi.org/10.48550/arxiv.2110.12718" @default.
- W4300593114 hasPublicationYear "2021" @default.
- W4300593114 type Work @default.
- W4300593114 citedByCount "0" @default.
- W4300593114 crossrefType "posted-content" @default.
- W4300593114 hasAuthorship W4300593114A5038059781 @default.
- W4300593114 hasAuthorship W4300593114A5050909682 @default.
- W4300593114 hasAuthorship W4300593114A5051475408 @default.
- W4300593114 hasBestOaLocation W43005931141 @default.
- W4300593114 hasConcept C104317684 @default.
- W4300593114 hasConcept C111472728 @default.
- W4300593114 hasConcept C114614502 @default.
- W4300593114 hasConcept C118615104 @default.
- W4300593114 hasConcept C136119220 @default.
- W4300593114 hasConcept C136170076 @default.
- W4300593114 hasConcept C138885662 @default.
- W4300593114 hasConcept C142109727 @default.
- W4300593114 hasConcept C162860070 @default.
- W4300593114 hasConcept C165525559 @default.
- W4300593114 hasConcept C178790620 @default.
- W4300593114 hasConcept C183778304 @default.
- W4300593114 hasConcept C185592680 @default.
- W4300593114 hasConcept C202444582 @default.
- W4300593114 hasConcept C2776639384 @default.
- W4300593114 hasConcept C2777726979 @default.
- W4300593114 hasConcept C2778023678 @default.
- W4300593114 hasConcept C2779057376 @default.
- W4300593114 hasConcept C2780378348 @default.
- W4300593114 hasConcept C2780617661 @default.
- W4300593114 hasConcept C33676613 @default.
- W4300593114 hasConcept C33923547 @default.
- W4300593114 hasConcept C55493867 @default.
- W4300593114 hasConcept C96489954 @default.
- W4300593114 hasConceptScore W4300593114C104317684 @default.
- W4300593114 hasConceptScore W4300593114C111472728 @default.
- W4300593114 hasConceptScore W4300593114C114614502 @default.
- W4300593114 hasConceptScore W4300593114C118615104 @default.
- W4300593114 hasConceptScore W4300593114C136119220 @default.
- W4300593114 hasConceptScore W4300593114C136170076 @default.
- W4300593114 hasConceptScore W4300593114C138885662 @default.
- W4300593114 hasConceptScore W4300593114C142109727 @default.
- W4300593114 hasConceptScore W4300593114C162860070 @default.
- W4300593114 hasConceptScore W4300593114C165525559 @default.
- W4300593114 hasConceptScore W4300593114C178790620 @default.
- W4300593114 hasConceptScore W4300593114C183778304 @default.
- W4300593114 hasConceptScore W4300593114C185592680 @default.
- W4300593114 hasConceptScore W4300593114C202444582 @default.
- W4300593114 hasConceptScore W4300593114C2776639384 @default.
- W4300593114 hasConceptScore W4300593114C2777726979 @default.
- W4300593114 hasConceptScore W4300593114C2778023678 @default.
- W4300593114 hasConceptScore W4300593114C2779057376 @default.
- W4300593114 hasConceptScore W4300593114C2780378348 @default.
- W4300593114 hasConceptScore W4300593114C2780617661 @default.
- W4300593114 hasConceptScore W4300593114C33676613 @default.
- W4300593114 hasConceptScore W4300593114C33923547 @default.
- W4300593114 hasConceptScore W4300593114C55493867 @default.
- W4300593114 hasConceptScore W4300593114C96489954 @default.
- W4300593114 hasLocation W43005931141 @default.
- W4300593114 hasOpenAccess W4300593114 @default.
- W4300593114 hasPrimaryLocation W43005931141 @default.
- W4300593114 hasRelatedWork W1588289350 @default.
- W4300593114 hasRelatedWork W2085382051 @default.
- W4300593114 hasRelatedWork W2122229619 @default.
- W4300593114 hasRelatedWork W2267992181 @default.
- W4300593114 hasRelatedWork W2526021755 @default.
- W4300593114 hasRelatedWork W2606960472 @default.
- W4300593114 hasRelatedWork W2963385771 @default.
- W4300593114 hasRelatedWork W2963910498 @default.
- W4300593114 hasRelatedWork W4299509941 @default.
- W4300593114 hasRelatedWork W4299848125 @default.
- W4300593114 isParatext "false" @default.
- W4300593114 isRetracted "false" @default.
- W4300593114 workType "article" @default.