Matches in SemOpenAlex for { <https://semopenalex.org/work/W2072600162> ?p ?o ?g. }
- W2072600162 endingPage "734" @default.
- W2072600162 startingPage "715" @default.
- W2072600162 abstract "In a two dimensional regular local ring integrally closed ideals have a unique factorization property and their associated graded ring is Cohen–Macaulay. In higher dimension these properties do not hold and the goal of the paper is to identify a subclass of integrally closed ideals for which they do. We restrict our attention to 0-dimensional homogeneous ideals in polynomial rings R of arbitrary dimension. We identify a class of integrally closed ideals, the Goto-class ({mathcal {G}^*}), which is closed under product and it has a suitable unique factorization property. Ideals in ({mathcal {G}^*}) have a Cohen–Macaulay associated graded ring if either they are monomial or dim R ≤ 3. Our approach is based on the study of the relationship between the notions of integrally closed, contracted, full and componentwise linear ideals." @default.
- W2072600162 created "2016-06-24" @default.
- W2072600162 creator A5042557616 @default.
- W2072600162 creator A5064915075 @default.
- W2072600162 creator A5084554315 @default.
- W2072600162 date "2009-05-19" @default.
- W2072600162 modified "2023-10-17" @default.
- W2072600162 title "Integrally closed and componentwise linear ideals" @default.
- W2072600162 cites W1497069092 @default.
- W2072600162 cites W1571705051 @default.
- W2072600162 cites W1576087491 @default.
- W2072600162 cites W1968541265 @default.
- W2072600162 cites W1982242129 @default.
- W2072600162 cites W2007947254 @default.
- W2072600162 cites W2009300192 @default.
- W2072600162 cites W2012105499 @default.
- W2072600162 cites W2019402203 @default.
- W2072600162 cites W2024589822 @default.
- W2072600162 cites W2024897212 @default.
- W2072600162 cites W2026817590 @default.
- W2072600162 cites W2035497761 @default.
- W2072600162 cites W2035886694 @default.
- W2072600162 cites W2044139740 @default.
- W2072600162 cites W2045714113 @default.
- W2072600162 cites W2050009035 @default.
- W2072600162 cites W2066643928 @default.
- W2072600162 cites W2084517882 @default.
- W2072600162 cites W2150322219 @default.
- W2072600162 cites W2160381399 @default.
- W2072600162 cites W2188825121 @default.
- W2072600162 cites W2312862224 @default.
- W2072600162 cites W4210919324 @default.
- W2072600162 cites W4239191450 @default.
- W2072600162 cites W4249549360 @default.
- W2072600162 cites W73171675 @default.
- W2072600162 doi "https://doi.org/10.1007/s00209-009-0537-4" @default.
- W2072600162 hasPublicationYear "2009" @default.
- W2072600162 type Work @default.
- W2072600162 sameAs 2072600162 @default.
- W2072600162 citedByCount "9" @default.
- W2072600162 countsByYear W20726001622012 @default.
- W2072600162 countsByYear W20726001622013 @default.
- W2072600162 countsByYear W20726001622014 @default.
- W2072600162 countsByYear W20726001622015 @default.
- W2072600162 countsByYear W20726001622019 @default.
- W2072600162 countsByYear W20726001622020 @default.
- W2072600162 countsByYear W20726001622022 @default.
- W2072600162 crossrefType "journal-article" @default.
- W2072600162 hasAuthorship W2072600162A5042557616 @default.
- W2072600162 hasAuthorship W2072600162A5064915075 @default.
- W2072600162 hasAuthorship W2072600162A5084554315 @default.
- W2072600162 hasBestOaLocation W20726001622 @default.
- W2072600162 hasConcept C11252640 @default.
- W2072600162 hasConcept C11413529 @default.
- W2072600162 hasConcept C114614502 @default.
- W2072600162 hasConcept C118615104 @default.
- W2072600162 hasConcept C127413603 @default.
- W2072600162 hasConcept C134306372 @default.
- W2072600162 hasConcept C142109727 @default.
- W2072600162 hasConcept C154945302 @default.
- W2072600162 hasConcept C178790620 @default.
- W2072600162 hasConcept C185592164 @default.
- W2072600162 hasConcept C185592680 @default.
- W2072600162 hasConcept C187834632 @default.
- W2072600162 hasConcept C202444582 @default.
- W2072600162 hasConcept C205059728 @default.
- W2072600162 hasConcept C2777212361 @default.
- W2072600162 hasConcept C2780378348 @default.
- W2072600162 hasConcept C33676613 @default.
- W2072600162 hasConcept C33923547 @default.
- W2072600162 hasConcept C41008148 @default.
- W2072600162 hasConcept C78519656 @default.
- W2072600162 hasConcept C90119067 @default.
- W2072600162 hasConcept C9485509 @default.
- W2072600162 hasConceptScore W2072600162C11252640 @default.
- W2072600162 hasConceptScore W2072600162C11413529 @default.
- W2072600162 hasConceptScore W2072600162C114614502 @default.
- W2072600162 hasConceptScore W2072600162C118615104 @default.
- W2072600162 hasConceptScore W2072600162C127413603 @default.
- W2072600162 hasConceptScore W2072600162C134306372 @default.
- W2072600162 hasConceptScore W2072600162C142109727 @default.
- W2072600162 hasConceptScore W2072600162C154945302 @default.
- W2072600162 hasConceptScore W2072600162C178790620 @default.
- W2072600162 hasConceptScore W2072600162C185592164 @default.
- W2072600162 hasConceptScore W2072600162C185592680 @default.
- W2072600162 hasConceptScore W2072600162C187834632 @default.
- W2072600162 hasConceptScore W2072600162C202444582 @default.
- W2072600162 hasConceptScore W2072600162C205059728 @default.
- W2072600162 hasConceptScore W2072600162C2777212361 @default.
- W2072600162 hasConceptScore W2072600162C2780378348 @default.
- W2072600162 hasConceptScore W2072600162C33676613 @default.
- W2072600162 hasConceptScore W2072600162C33923547 @default.
- W2072600162 hasConceptScore W2072600162C41008148 @default.
- W2072600162 hasConceptScore W2072600162C78519656 @default.
- W2072600162 hasConceptScore W2072600162C90119067 @default.
- W2072600162 hasConceptScore W2072600162C9485509 @default.
- W2072600162 hasIssue "3" @default.
- W2072600162 hasLocation W20726001621 @default.