Matches in SemOpenAlex for { <https://semopenalex.org/work/W2086026869> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W2086026869 endingPage "287" @default.
- W2086026869 startingPage "279" @default.
- W2086026869 abstract "Let <TEX>$k$</TEX> be a field containing the field <TEX>$mathbb{Q}$</TEX> of rational numbers and let <TEX>$R=k[x_{ij}{mid}1{leq}i{leq}m,;1{leq}j{leq}n]$</TEX> be the polynomial ring over a field <TEX>$k$</TEX> with indeterminates <TEX>$x_{ij}$</TEX>. Let <TEX>$I_t(X)$</TEX> be the determinantal ideal generated by the <TEX>$t$</TEX>-minors of an <TEX>$m{times}n$</TEX> matrix <TEX>$X=(x_{ij})$</TEX>. Eagon and Hochster proved that <TEX>$I_t(X)$</TEX> is a perfect ideal of grade <TEX>$(m-t+1)(n-t+1)$</TEX>. We give a structure theorem for a class of determinantal ideals of grade 3. This gives us a characterization that <TEX>$I_t(X)$</TEX> has grade 3 if and only if <TEX>$n=m+2$</TEX> and <TEX>$I_t(X)$</TEX> has the minimal free resolution <TEX>$mathbb{F}$</TEX> such that the second dierential map of <TEX>$mathbb{F}$</TEX> is a matrix defined by complete matrices of grade <TEX>$n+2$</TEX>." @default.
- W2086026869 created "2016-06-24" @default.
- W2086026869 creator A5018832804 @default.
- W2086026869 creator A5078416571 @default.
- W2086026869 date "2012-06-25" @default.
- W2086026869 modified "2023-10-17" @default.
- W2086026869 title "A CLASS OF GRADE THREE DETERMINANTAL IDEALS" @default.
- W2086026869 cites W2003634824 @default.
- W2086026869 cites W2022980075 @default.
- W2086026869 cites W2074082246 @default.
- W2086026869 cites W2086346829 @default.
- W2086026869 cites W2093809612 @default.
- W2086026869 cites W2143883411 @default.
- W2086026869 cites W2152975011 @default.
- W2086026869 cites W2313163255 @default.
- W2086026869 doi "https://doi.org/10.5831/hmj.2012.34.2.279" @default.
- W2086026869 hasPublicationYear "2012" @default.
- W2086026869 type Work @default.
- W2086026869 sameAs 2086026869 @default.
- W2086026869 citedByCount "0" @default.
- W2086026869 crossrefType "journal-article" @default.
- W2086026869 hasAuthorship W2086026869A5018832804 @default.
- W2086026869 hasAuthorship W2086026869A5078416571 @default.
- W2086026869 hasBestOaLocation W20860268691 @default.
- W2086026869 hasConcept C106487976 @default.
- W2086026869 hasConcept C111472728 @default.
- W2086026869 hasConcept C114614502 @default.
- W2086026869 hasConcept C134306372 @default.
- W2086026869 hasConcept C136119220 @default.
- W2086026869 hasConcept C138268822 @default.
- W2086026869 hasConcept C138885662 @default.
- W2086026869 hasConcept C154945302 @default.
- W2086026869 hasConcept C159985019 @default.
- W2086026869 hasConcept C178790620 @default.
- W2086026869 hasConcept C185592680 @default.
- W2086026869 hasConcept C192562407 @default.
- W2086026869 hasConcept C202444582 @default.
- W2086026869 hasConcept C2776639384 @default.
- W2086026869 hasConcept C2777212361 @default.
- W2086026869 hasConcept C2780378348 @default.
- W2086026869 hasConcept C33923547 @default.
- W2086026869 hasConcept C41008148 @default.
- W2086026869 hasConcept C90119067 @default.
- W2086026869 hasConcept C9485509 @default.
- W2086026869 hasConcept C9652623 @default.
- W2086026869 hasConceptScore W2086026869C106487976 @default.
- W2086026869 hasConceptScore W2086026869C111472728 @default.
- W2086026869 hasConceptScore W2086026869C114614502 @default.
- W2086026869 hasConceptScore W2086026869C134306372 @default.
- W2086026869 hasConceptScore W2086026869C136119220 @default.
- W2086026869 hasConceptScore W2086026869C138268822 @default.
- W2086026869 hasConceptScore W2086026869C138885662 @default.
- W2086026869 hasConceptScore W2086026869C154945302 @default.
- W2086026869 hasConceptScore W2086026869C159985019 @default.
- W2086026869 hasConceptScore W2086026869C178790620 @default.
- W2086026869 hasConceptScore W2086026869C185592680 @default.
- W2086026869 hasConceptScore W2086026869C192562407 @default.
- W2086026869 hasConceptScore W2086026869C202444582 @default.
- W2086026869 hasConceptScore W2086026869C2776639384 @default.
- W2086026869 hasConceptScore W2086026869C2777212361 @default.
- W2086026869 hasConceptScore W2086026869C2780378348 @default.
- W2086026869 hasConceptScore W2086026869C33923547 @default.
- W2086026869 hasConceptScore W2086026869C41008148 @default.
- W2086026869 hasConceptScore W2086026869C90119067 @default.
- W2086026869 hasConceptScore W2086026869C9485509 @default.
- W2086026869 hasConceptScore W2086026869C9652623 @default.
- W2086026869 hasIssue "2" @default.
- W2086026869 hasLocation W20860268691 @default.
- W2086026869 hasOpenAccess W2086026869 @default.
- W2086026869 hasPrimaryLocation W20860268691 @default.
- W2086026869 hasRelatedWork W1511302268 @default.
- W2086026869 hasRelatedWork W1531225882 @default.
- W2086026869 hasRelatedWork W1808382989 @default.
- W2086026869 hasRelatedWork W1963947382 @default.
- W2086026869 hasRelatedWork W2007005467 @default.
- W2086026869 hasRelatedWork W2009896212 @default.
- W2086026869 hasRelatedWork W2144996714 @default.
- W2086026869 hasRelatedWork W2171317148 @default.
- W2086026869 hasRelatedWork W2949106583 @default.
- W2086026869 hasRelatedWork W3151745658 @default.
- W2086026869 hasVolume "34" @default.
- W2086026869 isParatext "false" @default.
- W2086026869 isRetracted "false" @default.
- W2086026869 magId "2086026869" @default.
- W2086026869 workType "article" @default.