Matches in SemOpenAlex for { <https://semopenalex.org/work/W2145795076> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2145795076 endingPage "112" @default.
- W2145795076 startingPage "91" @default.
- W2145795076 abstract "For decades, the study of graded Clifford algebras has provided a theory where commutative algebraic geometry has dictated the algebraic and homological behavior of a noncommutative algebra. In particular, it is well known that a graded Clifford algebra, C, is quadratic and regular if and only if a certain quadric system associated to C is base point free. In this article, we introduce a generalization of a graded Clifford algebra, namely a graded skew Clifford algebra, and to such an algebra we associate a notion of quadric system in the spirit of the noncommutative algebraic geometry of Artin, Tate and Van den Bergh. We prove that a graded skew Clifford algebra is quadratic and regular if and only if its associated quadric system is normalizing and base point free. To prove our results, we extend the notions of complete intersection, base point free, quadratic form and symmetric matrix to the noncommutative setting. We use our results to produce several families of quadratic regular skew Clifford algebras of global dimension four that are not twists of graded Clifford algebras. Many of our examples have a 1-dimensional line scheme and a point scheme that consists of exactly twenty distinct points, and thus are candidates for generic regular algebras of global dimension four." @default.
- W2145795076 created "2016-06-24" @default.
- W2145795076 creator A5034185456 @default.
- W2145795076 creator A5038537547 @default.
- W2145795076 date "2009-11-23" @default.
- W2145795076 modified "2023-10-17" @default.
- W2145795076 title "Generalizations of graded Clifford algebras and of complete intersections" @default.
- W2145795076 cites W1530431073 @default.
- W2145795076 cites W1667168469 @default.
- W2145795076 cites W1706528 @default.
- W2145795076 cites W1974643937 @default.
- W2145795076 cites W1981467864 @default.
- W2145795076 cites W1995424120 @default.
- W2145795076 cites W2003540166 @default.
- W2145795076 cites W2016524584 @default.
- W2145795076 cites W2028214602 @default.
- W2145795076 cites W2040049756 @default.
- W2145795076 cites W2051651118 @default.
- W2145795076 cites W2051885420 @default.
- W2145795076 cites W2065619061 @default.
- W2145795076 cites W2066402622 @default.
- W2145795076 cites W2069832091 @default.
- W2145795076 cites W2070985553 @default.
- W2145795076 cites W2089633277 @default.
- W2145795076 cites W2150994270 @default.
- W2145795076 cites W32652044 @default.
- W2145795076 doi "https://doi.org/10.1112/jlms/jdp057" @default.
- W2145795076 hasPublicationYear "2009" @default.
- W2145795076 type Work @default.
- W2145795076 sameAs 2145795076 @default.
- W2145795076 citedByCount "41" @default.
- W2145795076 countsByYear W21457950762012 @default.
- W2145795076 countsByYear W21457950762013 @default.
- W2145795076 countsByYear W21457950762014 @default.
- W2145795076 countsByYear W21457950762015 @default.
- W2145795076 countsByYear W21457950762016 @default.
- W2145795076 countsByYear W21457950762017 @default.
- W2145795076 countsByYear W21457950762018 @default.
- W2145795076 countsByYear W21457950762019 @default.
- W2145795076 countsByYear W21457950762020 @default.
- W2145795076 countsByYear W21457950762021 @default.
- W2145795076 countsByYear W21457950762022 @default.
- W2145795076 countsByYear W21457950762023 @default.
- W2145795076 crossrefType "journal-article" @default.
- W2145795076 hasAuthorship W2145795076A5034185456 @default.
- W2145795076 hasAuthorship W2145795076A5038537547 @default.
- W2145795076 hasConcept C100376341 @default.
- W2145795076 hasConcept C100856211 @default.
- W2145795076 hasConcept C104736235 @default.
- W2145795076 hasConcept C136119220 @default.
- W2145795076 hasConcept C14394260 @default.
- W2145795076 hasConcept C180671464 @default.
- W2145795076 hasConcept C202444582 @default.
- W2145795076 hasConcept C2779219049 @default.
- W2145795076 hasConcept C33923547 @default.
- W2145795076 hasConcept C51795389 @default.
- W2145795076 hasConcept C68797384 @default.
- W2145795076 hasConceptScore W2145795076C100376341 @default.
- W2145795076 hasConceptScore W2145795076C100856211 @default.
- W2145795076 hasConceptScore W2145795076C104736235 @default.
- W2145795076 hasConceptScore W2145795076C136119220 @default.
- W2145795076 hasConceptScore W2145795076C14394260 @default.
- W2145795076 hasConceptScore W2145795076C180671464 @default.
- W2145795076 hasConceptScore W2145795076C202444582 @default.
- W2145795076 hasConceptScore W2145795076C2779219049 @default.
- W2145795076 hasConceptScore W2145795076C33923547 @default.
- W2145795076 hasConceptScore W2145795076C51795389 @default.
- W2145795076 hasConceptScore W2145795076C68797384 @default.
- W2145795076 hasIssue "1" @default.
- W2145795076 hasLocation W21457950761 @default.
- W2145795076 hasOpenAccess W2145795076 @default.
- W2145795076 hasPrimaryLocation W21457950761 @default.
- W2145795076 hasRelatedWork W1515695641 @default.
- W2145795076 hasRelatedWork W1538240564 @default.
- W2145795076 hasRelatedWork W1964672408 @default.
- W2145795076 hasRelatedWork W1985902666 @default.
- W2145795076 hasRelatedWork W204835214 @default.
- W2145795076 hasRelatedWork W2145795076 @default.
- W2145795076 hasRelatedWork W21525990 @default.
- W2145795076 hasRelatedWork W2302567611 @default.
- W2145795076 hasRelatedWork W2515465208 @default.
- W2145795076 hasRelatedWork W3200012017 @default.
- W2145795076 hasVolume "81" @default.
- W2145795076 isParatext "false" @default.
- W2145795076 isRetracted "false" @default.
- W2145795076 magId "2145795076" @default.
- W2145795076 workType "article" @default.