FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2024897212> ?p ?o ?g. }

• W2024897212 endingPage "3734" @default.
• W2024897212 startingPage "3713" @default.
• W2024897212 abstract "Abstract Let (R, 𝔪) be a Noetherian local ring and let Ibe an R-ideal. Inspired by the work of Hübl and Huneke, we look for conditions that guarantee the Cohen-Macaulayness of the special fiber ring ℱ = ℛ/𝔪ℛ of I, where ℛ denotes the Rees algebra of I. Our key idea is to require ‘good’ intersection properties as well as ‘few’ homogeneous generating relations in low degrees. In particular, if Iis a strongly Cohen-Macaulay R-ideal with G ℓand the expected reduction number, we conclude that ℱ is always Cohen-Macaulay. We also obtain a characterization of the Cohen-Macaulayness of ℛ/Kℛ for any 𝔪-primary ideal K. This result recovers a well-known criterion of Valabrega and Valla whenever K = I. Furthermore, we study the relationship between the Cohen-Macaulay property of the special fiber ring ℱ and the Cohen-Macaulay property of the Rees algebra ℛ and the associated graded ring 𝒢 of I. Finally, we focus on the integral closedness of 𝔪I. The latter question is motivated by the theory of evolutions." @default.
• W2024897212 created "2016-06-24" @default.
• W2024897212 creator A5026980224 @default.
• W2024897212 creator A5041388512 @default.
• W2024897212 creator A5042899101 @default.
• W2024897212 creator A5057295462 @default.
• W2024897212 date "2003-01-09" @default.
• W2024897212 modified "2023-09-30" @default.
• W2024897212 title "Cohen-Macaulayness of Special Fiber Rings" @default.
• W2024897212 cites W141891344 @default.
• W2024897212 cites W1533343270 @default.
• W2024897212 cites W1805701405 @default.
• W2024897212 cites W1965987660 @default.
• W2024897212 cites W1970768608 @default.
• W2024897212 cites W1979261538 @default.
• W2024897212 cites W1997587614 @default.
• W2024897212 cites W2008017194 @default.
• W2024897212 cites W2010527475 @default.
• W2024897212 cites W2019857545 @default.
• W2024897212 cites W2037707696 @default.
• W2024897212 cites W2039682090 @default.
• W2024897212 cites W2072496777 @default.
• W2024897212 cites W2079041541 @default.
• W2024897212 cites W2080289409 @default.
• W2024897212 cites W2081503202 @default.
• W2024897212 cites W2084690903 @default.
• W2024897212 cites W2101208183 @default.
• W2024897212 cites W2114341232 @default.
• W2024897212 cites W2122664923 @default.
• W2024897212 cites W2149199826 @default.
• W2024897212 cites W2312934606 @default.
• W2024897212 cites W2333976070 @default.
• W2024897212 cites W4234243459 @default.
• W2024897212 doi "https://doi.org/10.1081/agb-120022439" @default.
• W2024897212 hasPublicationYear "2003" @default.
• W2024897212 type Work @default.
• W2024897212 sameAs 2024897212 @default.
• W2024897212 citedByCount "22" @default.
• W2024897212 countsByYear W20248972122014 @default.
• W2024897212 countsByYear W20248972122015 @default.
• W2024897212 countsByYear W20248972122016 @default.
• W2024897212 countsByYear W20248972122018 @default.
• W2024897212 countsByYear W20248972122019 @default.
• W2024897212 countsByYear W20248972122021 @default.
• W2024897212 countsByYear W20248972122023 @default.
• W2024897212 crossrefType "journal-article" @default.
• W2024897212 hasAuthorship W2024897212A5026980224 @default.
• W2024897212 hasAuthorship W2024897212A5041388512 @default.
• W2024897212 hasAuthorship W2024897212A5042899101 @default.
• W2024897212 hasAuthorship W2024897212A5057295462 @default.
• W2024897212 hasBestOaLocation W20248972122 @default.
• W2024897212 hasConcept C111472728 @default.
• W2024897212 hasConcept C114614502 @default.
• W2024897212 hasConcept C120665830 @default.
• W2024897212 hasConcept C121332964 @default.
• W2024897212 hasConcept C134306372 @default.
• W2024897212 hasConcept C136119220 @default.
• W2024897212 hasConcept C138885662 @default.
• W2024897212 hasConcept C142109727 @default.
• W2024897212 hasConcept C156923205 @default.
• W2024897212 hasConcept C161491579 @default.
• W2024897212 hasConcept C17744445 @default.
• W2024897212 hasConcept C178790620 @default.
• W2024897212 hasConcept C183778304 @default.
• W2024897212 hasConcept C185592680 @default.
• W2024897212 hasConcept C189950617 @default.
• W2024897212 hasConcept C199539241 @default.
• W2024897212 hasConcept C202444582 @default.
• W2024897212 hasConcept C2776639384 @default.
• W2024897212 hasConcept C2777726979 @default.
• W2024897212 hasConcept C2779057376 @default.
• W2024897212 hasConcept C2780378348 @default.
• W2024897212 hasConcept C2780841128 @default.
• W2024897212 hasConcept C33923547 @default.
• W2024897212 hasConcept C37253 @default.
• W2024897212 hasConcept C519885992 @default.
• W2024897212 hasConcept C66882249 @default.
• W2024897212 hasConcept C83920498 @default.
• W2024897212 hasConcept C90119067 @default.
• W2024897212 hasConcept C9485509 @default.
• W2024897212 hasConceptScore W2024897212C111472728 @default.
• W2024897212 hasConceptScore W2024897212C114614502 @default.
• W2024897212 hasConceptScore W2024897212C120665830 @default.
• W2024897212 hasConceptScore W2024897212C121332964 @default.
• W2024897212 hasConceptScore W2024897212C134306372 @default.
• W2024897212 hasConceptScore W2024897212C136119220 @default.
• W2024897212 hasConceptScore W2024897212C138885662 @default.
• W2024897212 hasConceptScore W2024897212C142109727 @default.
• W2024897212 hasConceptScore W2024897212C156923205 @default.
• W2024897212 hasConceptScore W2024897212C161491579 @default.
• W2024897212 hasConceptScore W2024897212C17744445 @default.
• W2024897212 hasConceptScore W2024897212C178790620 @default.
• W2024897212 hasConceptScore W2024897212C183778304 @default.
• W2024897212 hasConceptScore W2024897212C185592680 @default.
• W2024897212 hasConceptScore W2024897212C189950617 @default.
• W2024897212 hasConceptScore W2024897212C199539241 @default.
• W2024897212 hasConceptScore W2024897212C202444582 @default.
• W2024897212 hasConceptScore W2024897212C2776639384 @default.

• next