Matches in SemOpenAlex for { <https://semopenalex.org/work/W3197405172> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W3197405172 abstract "Let [Formula: see text] be a field and let [Formula: see text] be a monomial ideal in the polynomial ring [Formula: see text]. In her thesis, Taylor introduced a complex which provides a finite free resolution for [Formula: see text] as a [Formula: see text]-module. Later, Gemeda constructed a differential graded structure on the Taylor resolution. More recently, Avramov showed that this differential graded algebra admits divided powers. We generalize each of these results to monomial ideals in a skew polynomial ring [Formula: see text]. Under the hypothesis that the skew commuting parameters defining [Formula: see text] are roots of unity, we prove as an application that as [Formula: see text] varies among all ideals generated by a fixed number of monomials of degree at least two in [Formula: see text], there is only a finite number of possibilities for the Poincaré series of [Formula: see text] over [Formula: see text] and for the isomorphism classes of the homotopy Lie algebra of [Formula: see text] in cohomological degree larger or equal to two." @default.
- W3197405172 created "2021-09-13" @default.
- W3197405172 creator A5001369269 @default.
- W3197405172 creator A5083928513 @default.
- W3197405172 creator A5088551894 @default.
- W3197405172 date "2023-09-23" @default.
- W3197405172 modified "2023-10-14" @default.
- W3197405172 title "The Taylor resolution over a skew polynomial ring" @default.
- W3197405172 cites W1600090509 @default.
- W3197405172 cites W2076429715 @default.
- W3197405172 cites W2165492996 @default.
- W3197405172 cites W2316156292 @default.
- W3197405172 cites W2898203991 @default.
- W3197405172 cites W3013055728 @default.
- W3197405172 doi "https://doi.org/10.1142/s0219498825500215" @default.
- W3197405172 hasPublicationYear "2023" @default.
- W3197405172 type Work @default.
- W3197405172 sameAs 3197405172 @default.
- W3197405172 citedByCount "1" @default.
- W3197405172 countsByYear W31974051722021 @default.
- W3197405172 crossrefType "journal-article" @default.
- W3197405172 hasAuthorship W3197405172A5001369269 @default.
- W3197405172 hasAuthorship W3197405172A5083928513 @default.
- W3197405172 hasAuthorship W3197405172A5088551894 @default.
- W3197405172 hasBestOaLocation W31974051722 @default.
- W3197405172 hasConcept C111472728 @default.
- W3197405172 hasConcept C11252640 @default.
- W3197405172 hasConcept C114614502 @default.
- W3197405172 hasConcept C115624301 @default.
- W3197405172 hasConcept C121332964 @default.
- W3197405172 hasConcept C134306372 @default.
- W3197405172 hasConcept C138268822 @default.
- W3197405172 hasConcept C138885662 @default.
- W3197405172 hasConcept C142109727 @default.
- W3197405172 hasConcept C154945302 @default.
- W3197405172 hasConcept C178790620 @default.
- W3197405172 hasConcept C185592680 @default.
- W3197405172 hasConcept C202444582 @default.
- W3197405172 hasConcept C203436722 @default.
- W3197405172 hasConcept C24890656 @default.
- W3197405172 hasConcept C2775997480 @default.
- W3197405172 hasConcept C2776639384 @default.
- W3197405172 hasConcept C2777789435 @default.
- W3197405172 hasConcept C2780378348 @default.
- W3197405172 hasConcept C33923547 @default.
- W3197405172 hasConcept C41008148 @default.
- W3197405172 hasConcept C46132437 @default.
- W3197405172 hasConcept C78313660 @default.
- W3197405172 hasConcept C8010536 @default.
- W3197405172 hasConcept C90119067 @default.
- W3197405172 hasConcept C9485509 @default.
- W3197405172 hasConceptScore W3197405172C111472728 @default.
- W3197405172 hasConceptScore W3197405172C11252640 @default.
- W3197405172 hasConceptScore W3197405172C114614502 @default.
- W3197405172 hasConceptScore W3197405172C115624301 @default.
- W3197405172 hasConceptScore W3197405172C121332964 @default.
- W3197405172 hasConceptScore W3197405172C134306372 @default.
- W3197405172 hasConceptScore W3197405172C138268822 @default.
- W3197405172 hasConceptScore W3197405172C138885662 @default.
- W3197405172 hasConceptScore W3197405172C142109727 @default.
- W3197405172 hasConceptScore W3197405172C154945302 @default.
- W3197405172 hasConceptScore W3197405172C178790620 @default.
- W3197405172 hasConceptScore W3197405172C185592680 @default.
- W3197405172 hasConceptScore W3197405172C202444582 @default.
- W3197405172 hasConceptScore W3197405172C203436722 @default.
- W3197405172 hasConceptScore W3197405172C24890656 @default.
- W3197405172 hasConceptScore W3197405172C2775997480 @default.
- W3197405172 hasConceptScore W3197405172C2776639384 @default.
- W3197405172 hasConceptScore W3197405172C2777789435 @default.
- W3197405172 hasConceptScore W3197405172C2780378348 @default.
- W3197405172 hasConceptScore W3197405172C33923547 @default.
- W3197405172 hasConceptScore W3197405172C41008148 @default.
- W3197405172 hasConceptScore W3197405172C46132437 @default.
- W3197405172 hasConceptScore W3197405172C78313660 @default.
- W3197405172 hasConceptScore W3197405172C8010536 @default.
- W3197405172 hasConceptScore W3197405172C90119067 @default.
- W3197405172 hasConceptScore W3197405172C9485509 @default.
- W3197405172 hasLocation W31974051721 @default.
- W3197405172 hasLocation W31974051722 @default.
- W3197405172 hasOpenAccess W3197405172 @default.
- W3197405172 hasPrimaryLocation W31974051721 @default.
- W3197405172 hasRelatedWork W1495656399 @default.
- W3197405172 hasRelatedWork W1762208854 @default.
- W3197405172 hasRelatedWork W2084872532 @default.
- W3197405172 hasRelatedWork W2094857508 @default.
- W3197405172 hasRelatedWork W2891690413 @default.
- W3197405172 hasRelatedWork W2897655756 @default.
- W3197405172 hasRelatedWork W2950313244 @default.
- W3197405172 hasRelatedWork W2953213775 @default.
- W3197405172 hasRelatedWork W4299684591 @default.
- W3197405172 hasRelatedWork W4385970317 @default.
- W3197405172 isParatext "false" @default.
- W3197405172 isRetracted "false" @default.
- W3197405172 magId "3197405172" @default.
- W3197405172 workType "article" @default.