Matches in SemOpenAlex for { <https://semopenalex.org/work/W3047481504> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W3047481504 endingPage "618" @default.
- W3047481504 startingPage "603" @default.
- W3047481504 abstract "Given two semigroups $$langle Arangle$$ and $$langle Brangle$$ in $${mathbb {N}}^n$$ , we wonder when they can be glued, i.e., when there exists a semigroup $$langle Crangle$$ in $${mathbb {N}}^n$$ such that the defining ideals of the corresponding semigroup rings satisfy that $$I_C=I_A+I_B+langle rho rangle$$ for some binomial $$rho$$ . If $$nge 2$$ and $$k[A]$$ and $$k[B]$$ are Cohen–Macaulay, we prove that in order to glue them, one of the two semigroups must be degenerate. Then we study the two most degenerate cases: when one of the semigroups is generated by one single element (simple split) and the case where it is generated by at least two elements and all the elements of the semigroup lie on a line. In both cases we characterize the semigroups that can be glued and say how to glue them. Further, in these cases, we conclude that the glued $$langle Crangle$$ is Cohen–Macaulay if and only if both $$langle Arangle$$ and $$langle Brangle$$ are also Cohen–Macaulay. As an application, we characterize precisely the Cohen–Macaulay semigroups that can be glued when $$n=2$$ ." @default.
- W3047481504 created "2020-08-10" @default.
- W3047481504 creator A5008189220 @default.
- W3047481504 creator A5072916907 @default.
- W3047481504 date "2020-08-04" @default.
- W3047481504 modified "2023-10-16" @default.
- W3047481504 title "Gluing semigroups: when and how" @default.
- W3047481504 cites W1562959236 @default.
- W3047481504 cites W1995125316 @default.
- W3047481504 cites W2050023262 @default.
- W3047481504 cites W2068011623 @default.
- W3047481504 cites W2603686224 @default.
- W3047481504 cites W2964231489 @default.
- W3047481504 doi "https://doi.org/10.1007/s00233-020-10122-5" @default.
- W3047481504 hasPublicationYear "2020" @default.
- W3047481504 type Work @default.
- W3047481504 sameAs 3047481504 @default.
- W3047481504 citedByCount "2" @default.
- W3047481504 countsByYear W30474815042022 @default.
- W3047481504 countsByYear W30474815042023 @default.
- W3047481504 crossrefType "journal-article" @default.
- W3047481504 hasAuthorship W3047481504A5008189220 @default.
- W3047481504 hasAuthorship W3047481504A5072916907 @default.
- W3047481504 hasBestOaLocation W30474815042 @default.
- W3047481504 hasConcept C10138342 @default.
- W3047481504 hasConcept C114614502 @default.
- W3047481504 hasConcept C118615104 @default.
- W3047481504 hasConcept C121332964 @default.
- W3047481504 hasConcept C136119220 @default.
- W3047481504 hasConcept C162324750 @default.
- W3047481504 hasConcept C182306322 @default.
- W3047481504 hasConcept C202444582 @default.
- W3047481504 hasConcept C207405024 @default.
- W3047481504 hasConcept C33923547 @default.
- W3047481504 hasConcept C62520636 @default.
- W3047481504 hasConcept C72319582 @default.
- W3047481504 hasConceptScore W3047481504C10138342 @default.
- W3047481504 hasConceptScore W3047481504C114614502 @default.
- W3047481504 hasConceptScore W3047481504C118615104 @default.
- W3047481504 hasConceptScore W3047481504C121332964 @default.
- W3047481504 hasConceptScore W3047481504C136119220 @default.
- W3047481504 hasConceptScore W3047481504C162324750 @default.
- W3047481504 hasConceptScore W3047481504C182306322 @default.
- W3047481504 hasConceptScore W3047481504C202444582 @default.
- W3047481504 hasConceptScore W3047481504C207405024 @default.
- W3047481504 hasConceptScore W3047481504C33923547 @default.
- W3047481504 hasConceptScore W3047481504C62520636 @default.
- W3047481504 hasConceptScore W3047481504C72319582 @default.
- W3047481504 hasIssue "3" @default.
- W3047481504 hasLocation W30474815041 @default.
- W3047481504 hasLocation W30474815042 @default.
- W3047481504 hasOpenAccess W3047481504 @default.
- W3047481504 hasPrimaryLocation W30474815041 @default.
- W3047481504 hasRelatedWork W1606423697 @default.
- W3047481504 hasRelatedWork W1645432303 @default.
- W3047481504 hasRelatedWork W1967095089 @default.
- W3047481504 hasRelatedWork W1987931249 @default.
- W3047481504 hasRelatedWork W2023661790 @default.
- W3047481504 hasRelatedWork W2087561891 @default.
- W3047481504 hasRelatedWork W2131625422 @default.
- W3047481504 hasRelatedWork W2564120157 @default.
- W3047481504 hasRelatedWork W3199852337 @default.
- W3047481504 hasRelatedWork W4247844576 @default.
- W3047481504 hasVolume "101" @default.
- W3047481504 isParatext "false" @default.
- W3047481504 isRetracted "false" @default.
- W3047481504 magId "3047481504" @default.
- W3047481504 workType "article" @default.