Matches in SemOpenAlex for { <https://semopenalex.org/work/W1469395091> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W1469395091 abstract "The linearity defect introduced by Herzog and Iyengar is a numerical measure for the complexity of minimal free resolutions over local rings and graded algebras. We study the behaviour of linearity defect along short exact sequences. Typically, bad behaviour may occur, in sharp contrast to the Castelnuovo-Mumford regularity. However, along fairly large classes of exact sequences involving Koszul modules, the behaviour of linearity defect is under good control. We also generalize the notion of Koszul filltrations due to Conca, Trung and Valla to local rings. Among the applications, we prove that specializations of absolutely Koszul algebras are again absolutely Koszul, answering a question due to Conca, Iyengar, Nguyen and Romer. The proof is based on a change-of-rings result for linearity defect along a surjection of noetherian local rings $Rto S$ where $S$ is a Koszul $R$-module." @default.
- W1469395091 created "2016-06-24" @default.
- W1469395091 creator A5071238613 @default.
- W1469395091 date "2014-11-02" @default.
- W1469395091 modified "2023-09-27" @default.
- W1469395091 title "Good and bad behaviour of the linearity defect" @default.
- W1469395091 cites W1584573301 @default.
- W1469395091 cites W1613669816 @default.
- W1469395091 cites W1977483396 @default.
- W1469395091 cites W1983753026 @default.
- W1469395091 cites W1990956096 @default.
- W1469395091 cites W2032058806 @default.
- W1469395091 cites W2050817154 @default.
- W1469395091 cites W2057906751 @default.
- W1469395091 cites W2065549534 @default.
- W1469395091 cites W2068190095 @default.
- W1469395091 cites W2073768525 @default.
- W1469395091 cites W2136703295 @default.
- W1469395091 cites W2143716868 @default.
- W1469395091 cites W2163091753 @default.
- W1469395091 hasPublicationYear "2014" @default.
- W1469395091 type Work @default.
- W1469395091 sameAs 1469395091 @default.
- W1469395091 citedByCount "4" @default.
- W1469395091 countsByYear W14693950912015 @default.
- W1469395091 crossrefType "posted-content" @default.
- W1469395091 hasAuthorship W1469395091A5071238613 @default.
- W1469395091 hasConcept C118615104 @default.
- W1469395091 hasConcept C119238805 @default.
- W1469395091 hasConcept C121332964 @default.
- W1469395091 hasConcept C124101348 @default.
- W1469395091 hasConcept C136119220 @default.
- W1469395091 hasConcept C202444582 @default.
- W1469395091 hasConcept C2779057376 @default.
- W1469395091 hasConcept C2780009758 @default.
- W1469395091 hasConcept C33923547 @default.
- W1469395091 hasConcept C41008148 @default.
- W1469395091 hasConcept C62520636 @default.
- W1469395091 hasConcept C77170095 @default.
- W1469395091 hasConceptScore W1469395091C118615104 @default.
- W1469395091 hasConceptScore W1469395091C119238805 @default.
- W1469395091 hasConceptScore W1469395091C121332964 @default.
- W1469395091 hasConceptScore W1469395091C124101348 @default.
- W1469395091 hasConceptScore W1469395091C136119220 @default.
- W1469395091 hasConceptScore W1469395091C202444582 @default.
- W1469395091 hasConceptScore W1469395091C2779057376 @default.
- W1469395091 hasConceptScore W1469395091C2780009758 @default.
- W1469395091 hasConceptScore W1469395091C33923547 @default.
- W1469395091 hasConceptScore W1469395091C41008148 @default.
- W1469395091 hasConceptScore W1469395091C62520636 @default.
- W1469395091 hasConceptScore W1469395091C77170095 @default.
- W1469395091 hasLocation W14693950911 @default.
- W1469395091 hasOpenAccess W1469395091 @default.
- W1469395091 hasPrimaryLocation W14693950911 @default.
- W1469395091 hasRelatedWork W1972548403 @default.
- W1469395091 hasRelatedWork W1983753026 @default.
- W1469395091 hasRelatedWork W2006393109 @default.
- W1469395091 hasRelatedWork W2010304765 @default.
- W1469395091 hasRelatedWork W2035293682 @default.
- W1469395091 hasRelatedWork W2288722070 @default.
- W1469395091 hasRelatedWork W2336647291 @default.
- W1469395091 hasRelatedWork W2782137123 @default.
- W1469395091 hasRelatedWork W2806487798 @default.
- W1469395091 hasRelatedWork W2950094017 @default.
- W1469395091 hasRelatedWork W2950501775 @default.
- W1469395091 hasRelatedWork W2951409689 @default.
- W1469395091 hasRelatedWork W2963101804 @default.
- W1469395091 hasRelatedWork W3041068315 @default.
- W1469395091 hasRelatedWork W3103085502 @default.
- W1469395091 hasRelatedWork W3121896547 @default.
- W1469395091 hasRelatedWork W3191518580 @default.
- W1469395091 hasRelatedWork W583103596 @default.
- W1469395091 hasRelatedWork W2184367491 @default.
- W1469395091 isParatext "false" @default.
- W1469395091 isRetracted "false" @default.
- W1469395091 magId "1469395091" @default.
- W1469395091 workType "article" @default.