Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952350510> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2952350510 abstract "We study the defining equations of the Rees algebra of square-free monomial ideals in a polynomial ring over a field. We determine that when an ideal $I$ is generated by $n$ square-free monomials of the same degree then $I$ has relation type at most $n-2$ as long as $n leq 5$. In general, we establish the defining equations of the Rees algebra in this case. Furthermore, we give a class of examples with relation type at least $n-2$, where $n=mu(I)$. We also provide new classes of ideals of linear type. We propose the construction of a graph, namely the generator graph of an ideal, where the monomial generators serve as vertices for the graph. We show that when $I$ is a square-free monomial ideal generated in the same degree that is at least 2 and the generator graph of $I$ is the graph of a disjoint union of trees and graphs with unique odd cycles then $I$ is an ideal of linear type." @default.
- W2952350510 created "2019-06-27" @default.
- W2952350510 creator A5045289472 @default.
- W2952350510 creator A5048985525 @default.
- W2952350510 date "2012-05-14" @default.
- W2952350510 modified "2023-09-25" @default.
- W2952350510 title "Rees algebras of square-free monomial ideals" @default.
- W2952350510 cites W1499050714 @default.
- W2952350510 cites W1503303358 @default.
- W2952350510 cites W1972914430 @default.
- W2952350510 cites W1980134547 @default.
- W2952350510 cites W2005296915 @default.
- W2952350510 cites W2006447947 @default.
- W2952350510 cites W2013611586 @default.
- W2952350510 cites W2039987131 @default.
- W2952350510 cites W2048922093 @default.
- W2952350510 cites W2057688381 @default.
- W2952350510 cites W2072339135 @default.
- W2952350510 cites W2079086564 @default.
- W2952350510 cites W2086323444 @default.
- W2952350510 cites W2333546432 @default.
- W2952350510 doi "https://doi.org/10.48550/arxiv.1205.3127" @default.
- W2952350510 hasPublicationYear "2012" @default.
- W2952350510 type Work @default.
- W2952350510 sameAs 2952350510 @default.
- W2952350510 citedByCount "2" @default.
- W2952350510 countsByYear W29523505102013 @default.
- W2952350510 countsByYear W29523505102015 @default.
- W2952350510 crossrefType "posted-content" @default.
- W2952350510 hasAuthorship W2952350510A5045289472 @default.
- W2952350510 hasAuthorship W2952350510A5048985525 @default.
- W2952350510 hasBestOaLocation W29523505101 @default.
- W2952350510 hasConcept C111472728 @default.
- W2952350510 hasConcept C11252640 @default.
- W2952350510 hasConcept C114614502 @default.
- W2952350510 hasConcept C118615104 @default.
- W2952350510 hasConcept C121332964 @default.
- W2952350510 hasConcept C124973616 @default.
- W2952350510 hasConcept C132525143 @default.
- W2952350510 hasConcept C134306372 @default.
- W2952350510 hasConcept C135692309 @default.
- W2952350510 hasConcept C138885662 @default.
- W2952350510 hasConcept C156923205 @default.
- W2952350510 hasConcept C163258240 @default.
- W2952350510 hasConcept C188139237 @default.
- W2952350510 hasConcept C202444582 @default.
- W2952350510 hasConcept C2524010 @default.
- W2952350510 hasConcept C2776639384 @default.
- W2952350510 hasConcept C2777789435 @default.
- W2952350510 hasConcept C2780992000 @default.
- W2952350510 hasConcept C33923547 @default.
- W2952350510 hasConcept C45340560 @default.
- W2952350510 hasConcept C62520636 @default.
- W2952350510 hasConcept C90119067 @default.
- W2952350510 hasConcept C9485509 @default.
- W2952350510 hasConceptScore W2952350510C111472728 @default.
- W2952350510 hasConceptScore W2952350510C11252640 @default.
- W2952350510 hasConceptScore W2952350510C114614502 @default.
- W2952350510 hasConceptScore W2952350510C118615104 @default.
- W2952350510 hasConceptScore W2952350510C121332964 @default.
- W2952350510 hasConceptScore W2952350510C124973616 @default.
- W2952350510 hasConceptScore W2952350510C132525143 @default.
- W2952350510 hasConceptScore W2952350510C134306372 @default.
- W2952350510 hasConceptScore W2952350510C135692309 @default.
- W2952350510 hasConceptScore W2952350510C138885662 @default.
- W2952350510 hasConceptScore W2952350510C156923205 @default.
- W2952350510 hasConceptScore W2952350510C163258240 @default.
- W2952350510 hasConceptScore W2952350510C188139237 @default.
- W2952350510 hasConceptScore W2952350510C202444582 @default.
- W2952350510 hasConceptScore W2952350510C2524010 @default.
- W2952350510 hasConceptScore W2952350510C2776639384 @default.
- W2952350510 hasConceptScore W2952350510C2777789435 @default.
- W2952350510 hasConceptScore W2952350510C2780992000 @default.
- W2952350510 hasConceptScore W2952350510C33923547 @default.
- W2952350510 hasConceptScore W2952350510C45340560 @default.
- W2952350510 hasConceptScore W2952350510C62520636 @default.
- W2952350510 hasConceptScore W2952350510C90119067 @default.
- W2952350510 hasConceptScore W2952350510C9485509 @default.
- W2952350510 hasLocation W29523505101 @default.
- W2952350510 hasLocation W29523505102 @default.
- W2952350510 hasLocation W29523505103 @default.
- W2952350510 hasOpenAccess W2952350510 @default.
- W2952350510 hasPrimaryLocation W29523505101 @default.
- W2952350510 hasRelatedWork W1564637121 @default.
- W2952350510 hasRelatedWork W1579620076 @default.
- W2952350510 hasRelatedWork W2074642019 @default.
- W2952350510 hasRelatedWork W2094857508 @default.
- W2952350510 hasRelatedWork W2095788017 @default.
- W2952350510 hasRelatedWork W2109185969 @default.
- W2952350510 hasRelatedWork W2114477377 @default.
- W2952350510 hasRelatedWork W2963179008 @default.
- W2952350510 hasRelatedWork W2964305162 @default.
- W2952350510 hasRelatedWork W4298207298 @default.
- W2952350510 isParatext "false" @default.
- W2952350510 isRetracted "false" @default.
- W2952350510 magId "2952350510" @default.
- W2952350510 workType "article" @default.