Matches in SemOpenAlex for { <https://semopenalex.org/work/W2799574851> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W2799574851 abstract "The aim of this article is to study the Ext ring associated to a Koszul $R$-ring and to use it to provide further characterisations of the former. As such, for $R$ being a semisimple ring and $A$ a graded Koszul $R$-ring, we will prove that there is an isomorphism of DG rings between $mathcal{E}(A):=mathrm{Ext}^bullet_A(R,R)$ and $^{ast-text{gr}}mathrm{T}(A) simeq mathrm{E}(^{ast-text{gr}!} A)$. Also, the Ext $R$-ring will prove to be isomorphic to the shriek ring of the left graded dual of $A$, namely $mathcal{E}(A) simeq (^{ast-text{gr}!} A)^!$. As an application, these isomorphisms will be studied in the context of incidence $R$-(co)rings for Koszul posets. Thus, we will obtain a description and method of computing the shriek ring for $Bbbk^c[mathcal{P}]$, the incidence $R$-coring of a Koszul poset. Another application is provided for monoid rings associated to submonoids of $mathbb{Z}^n$." @default.
- W2799574851 created "2018-05-17" @default.
- W2799574851 creator A5068511458 @default.
- W2799574851 date "2015-06-01" @default.
- W2799574851 modified "2023-09-24" @default.
- W2799574851 title "On the Yoneda Ring and Koszul Pairs" @default.
- W2799574851 cites W1519011338 @default.
- W2799574851 hasPublicationYear "2015" @default.
- W2799574851 type Work @default.
- W2799574851 sameAs 2799574851 @default.
- W2799574851 citedByCount "0" @default.
- W2799574851 crossrefType "posted-content" @default.
- W2799574851 hasAuthorship W2799574851A5068511458 @default.
- W2799574851 hasConcept C114614502 @default.
- W2799574851 hasConcept C115624301 @default.
- W2799574851 hasConcept C121332964 @default.
- W2799574851 hasConcept C151730666 @default.
- W2799574851 hasConcept C178790620 @default.
- W2799574851 hasConcept C180645754 @default.
- W2799574851 hasConcept C185592680 @default.
- W2799574851 hasConcept C203436722 @default.
- W2799574851 hasConcept C206901836 @default.
- W2799574851 hasConcept C2779343474 @default.
- W2799574851 hasConcept C2780378348 @default.
- W2799574851 hasConcept C33923547 @default.
- W2799574851 hasConcept C8010536 @default.
- W2799574851 hasConcept C86803240 @default.
- W2799574851 hasConceptScore W2799574851C114614502 @default.
- W2799574851 hasConceptScore W2799574851C115624301 @default.
- W2799574851 hasConceptScore W2799574851C121332964 @default.
- W2799574851 hasConceptScore W2799574851C151730666 @default.
- W2799574851 hasConceptScore W2799574851C178790620 @default.
- W2799574851 hasConceptScore W2799574851C180645754 @default.
- W2799574851 hasConceptScore W2799574851C185592680 @default.
- W2799574851 hasConceptScore W2799574851C203436722 @default.
- W2799574851 hasConceptScore W2799574851C206901836 @default.
- W2799574851 hasConceptScore W2799574851C2779343474 @default.
- W2799574851 hasConceptScore W2799574851C2780378348 @default.
- W2799574851 hasConceptScore W2799574851C33923547 @default.
- W2799574851 hasConceptScore W2799574851C8010536 @default.
- W2799574851 hasConceptScore W2799574851C86803240 @default.
- W2799574851 hasLocation W27995748511 @default.
- W2799574851 hasOpenAccess W2799574851 @default.
- W2799574851 hasPrimaryLocation W27995748511 @default.
- W2799574851 hasRelatedWork W131371749 @default.
- W2799574851 hasRelatedWork W147412016 @default.
- W2799574851 hasRelatedWork W153374860 @default.
- W2799574851 hasRelatedWork W1974312088 @default.
- W2799574851 hasRelatedWork W1979922691 @default.
- W2799574851 hasRelatedWork W1986534647 @default.
- W2799574851 hasRelatedWork W2025386142 @default.
- W2799574851 hasRelatedWork W2076505045 @default.
- W2799574851 hasRelatedWork W2083147865 @default.
- W2799574851 hasRelatedWork W2099835574 @default.
- W2799574851 hasRelatedWork W2160826222 @default.
- W2799574851 hasRelatedWork W2170099936 @default.
- W2799574851 hasRelatedWork W2288138410 @default.
- W2799574851 hasRelatedWork W2555196019 @default.
- W2799574851 hasRelatedWork W3007345613 @default.
- W2799574851 hasRelatedWork W320407141 @default.
- W2799574851 hasRelatedWork W3213087207 @default.
- W2799574851 hasRelatedWork W1995041085 @default.
- W2799574851 hasRelatedWork W2431461733 @default.
- W2799574851 hasRelatedWork W2567586421 @default.
- W2799574851 isParatext "false" @default.
- W2799574851 isRetracted "false" @default.
- W2799574851 magId "2799574851" @default.
- W2799574851 workType "article" @default.