Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287251605> ?p ?o ?g. }
Showing items 1 to 51 of
51
with 100 items per page.
- W4287251605 abstract "It is known that the numerical invariants Betti numbers and Bass numbers are worthwhile tools for decoding a large amount of information about modules over commutative rings. We highlight this fact, further, by establishing some criteria for certain semidualizing complexes via their Betti and Bass numbers. Two distinguished types of semidualizing complexes are the shifts of the underlying rings and dualizing complexes. Let $C$ be a semidualizing complex for an analytically irreducible local ring $R$ and set $n:=sup C$ and $d:=dim_RC$. We show that $C$ is quasi-isomorphic to a shift of $R$ if and only if the $n$th Betti number of $C$ is one. Also, we show that $C$ is a dualizing complex for $R$ if and only if the $d$th Bass number of $C$ is one." @default.
- W4287251605 created "2022-07-25" @default.
- W4287251605 creator A5045431774 @default.
- W4287251605 creator A5068835267 @default.
- W4287251605 creator A5090440516 @default.
- W4287251605 date "2021-03-29" @default.
- W4287251605 modified "2023-09-23" @default.
- W4287251605 title "Characterizing certain semidualizing complexes via their Betti and Bass numbers" @default.
- W4287251605 doi "https://doi.org/10.48550/arxiv.2103.15531" @default.
- W4287251605 hasPublicationYear "2021" @default.
- W4287251605 type Work @default.
- W4287251605 citedByCount "0" @default.
- W4287251605 crossrefType "posted-content" @default.
- W4287251605 hasAuthorship W4287251605A5045431774 @default.
- W4287251605 hasAuthorship W4287251605A5068835267 @default.
- W4287251605 hasAuthorship W4287251605A5090440516 @default.
- W4287251605 hasBestOaLocation W42872516051 @default.
- W4287251605 hasConcept C11413529 @default.
- W4287251605 hasConcept C129621563 @default.
- W4287251605 hasConcept C183778304 @default.
- W4287251605 hasConcept C202444582 @default.
- W4287251605 hasConcept C2777182073 @default.
- W4287251605 hasConcept C33923547 @default.
- W4287251605 hasConcept C505870484 @default.
- W4287251605 hasConcept C57273362 @default.
- W4287251605 hasConcept C86803240 @default.
- W4287251605 hasConceptScore W4287251605C11413529 @default.
- W4287251605 hasConceptScore W4287251605C129621563 @default.
- W4287251605 hasConceptScore W4287251605C183778304 @default.
- W4287251605 hasConceptScore W4287251605C202444582 @default.
- W4287251605 hasConceptScore W4287251605C2777182073 @default.
- W4287251605 hasConceptScore W4287251605C33923547 @default.
- W4287251605 hasConceptScore W4287251605C505870484 @default.
- W4287251605 hasConceptScore W4287251605C57273362 @default.
- W4287251605 hasConceptScore W4287251605C86803240 @default.
- W4287251605 hasLocation W42872516051 @default.
- W4287251605 hasOpenAccess W4287251605 @default.
- W4287251605 hasPrimaryLocation W42872516051 @default.
- W4287251605 hasRelatedWork W12552772 @default.
- W4287251605 hasRelatedWork W13828245 @default.
- W4287251605 hasRelatedWork W13898098 @default.
- W4287251605 hasRelatedWork W37649589 @default.
- W4287251605 hasRelatedWork W39203589 @default.
- W4287251605 hasRelatedWork W48113426 @default.
- W4287251605 hasRelatedWork W48598953 @default.
- W4287251605 hasRelatedWork W53292203 @default.
- W4287251605 hasRelatedWork W57928512 @default.
- W4287251605 hasRelatedWork W6011433 @default.
- W4287251605 isParatext "false" @default.
- W4287251605 isRetracted "false" @default.
- W4287251605 workType "article" @default.