Matches in SemOpenAlex for { <https://semopenalex.org/work/W2767515712> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2767515712 abstract "Let $X$ be a matrix with entries in a polynomial ring over an algebraically closed field $K$. We prove that, if the entries of $X$ outside some $(t times t)$-submatrix are algebraically dependent over $K$, the arithmetical rank of the ideal $I_t(X)$ of $t$-minors of $X$ drops at least by one with respect to the generic case; under suitable assumptions, it drops at least by $k$ if $X$ has $k$ zero entries. This upper bound turns out to be sharp if $mathrm{char}, K=0$, since it then coincides with the lower bound provided by the local cohomological dimension." @default.
- W2767515712 created "2017-11-17" @default.
- W2767515712 creator A5026697932 @default.
- W2767515712 creator A5036876704 @default.
- W2767515712 date "2017-11-03" @default.
- W2767515712 modified "2023-09-27" @default.
- W2767515712 title "On determinantal ideals and algebraic dependence" @default.
- W2767515712 cites W2128978199 @default.
- W2767515712 cites W2962963003 @default.
- W2767515712 cites W2963573086 @default.
- W2767515712 cites W2963745073 @default.
- W2767515712 cites W2964051317 @default.
- W2767515712 hasPublicationYear "2017" @default.
- W2767515712 type Work @default.
- W2767515712 sameAs 2767515712 @default.
- W2767515712 citedByCount "0" @default.
- W2767515712 crossrefType "posted-content" @default.
- W2767515712 hasAuthorship W2767515712A5026697932 @default.
- W2767515712 hasAuthorship W2767515712A5036876704 @default.
- W2767515712 hasConcept C106487976 @default.
- W2767515712 hasConcept C111472728 @default.
- W2767515712 hasConcept C112343008 @default.
- W2767515712 hasConcept C114614502 @default.
- W2767515712 hasConcept C118615104 @default.
- W2767515712 hasConcept C134306372 @default.
- W2767515712 hasConcept C138885662 @default.
- W2767515712 hasConcept C159985019 @default.
- W2767515712 hasConcept C164226766 @default.
- W2767515712 hasConcept C192562407 @default.
- W2767515712 hasConcept C202444582 @default.
- W2767515712 hasConcept C203701370 @default.
- W2767515712 hasConcept C2776639384 @default.
- W2767515712 hasConcept C2780813799 @default.
- W2767515712 hasConcept C33676613 @default.
- W2767515712 hasConcept C33923547 @default.
- W2767515712 hasConcept C41895202 @default.
- W2767515712 hasConcept C77553402 @default.
- W2767515712 hasConcept C90119067 @default.
- W2767515712 hasConcept C9376300 @default.
- W2767515712 hasConcept C9485509 @default.
- W2767515712 hasConcept C9652623 @default.
- W2767515712 hasConceptScore W2767515712C106487976 @default.
- W2767515712 hasConceptScore W2767515712C111472728 @default.
- W2767515712 hasConceptScore W2767515712C112343008 @default.
- W2767515712 hasConceptScore W2767515712C114614502 @default.
- W2767515712 hasConceptScore W2767515712C118615104 @default.
- W2767515712 hasConceptScore W2767515712C134306372 @default.
- W2767515712 hasConceptScore W2767515712C138885662 @default.
- W2767515712 hasConceptScore W2767515712C159985019 @default.
- W2767515712 hasConceptScore W2767515712C164226766 @default.
- W2767515712 hasConceptScore W2767515712C192562407 @default.
- W2767515712 hasConceptScore W2767515712C202444582 @default.
- W2767515712 hasConceptScore W2767515712C203701370 @default.
- W2767515712 hasConceptScore W2767515712C2776639384 @default.
- W2767515712 hasConceptScore W2767515712C2780813799 @default.
- W2767515712 hasConceptScore W2767515712C33676613 @default.
- W2767515712 hasConceptScore W2767515712C33923547 @default.
- W2767515712 hasConceptScore W2767515712C41895202 @default.
- W2767515712 hasConceptScore W2767515712C77553402 @default.
- W2767515712 hasConceptScore W2767515712C90119067 @default.
- W2767515712 hasConceptScore W2767515712C9376300 @default.
- W2767515712 hasConceptScore W2767515712C9485509 @default.
- W2767515712 hasConceptScore W2767515712C9652623 @default.
- W2767515712 hasLocation W27675157121 @default.
- W2767515712 hasOpenAccess W2767515712 @default.
- W2767515712 hasPrimaryLocation W27675157121 @default.
- W2767515712 hasRelatedWork W1668799320 @default.
- W2767515712 hasRelatedWork W1746238731 @default.
- W2767515712 hasRelatedWork W1823641945 @default.
- W2767515712 hasRelatedWork W1862722859 @default.
- W2767515712 hasRelatedWork W1992015796 @default.
- W2767515712 hasRelatedWork W1996054200 @default.
- W2767515712 hasRelatedWork W2028329391 @default.
- W2767515712 hasRelatedWork W2035807118 @default.
- W2767515712 hasRelatedWork W2054303877 @default.
- W2767515712 hasRelatedWork W2057568990 @default.
- W2767515712 hasRelatedWork W2145252024 @default.
- W2767515712 hasRelatedWork W2243878883 @default.
- W2767515712 hasRelatedWork W2331415503 @default.
- W2767515712 hasRelatedWork W2477225323 @default.
- W2767515712 hasRelatedWork W2949127932 @default.
- W2767515712 hasRelatedWork W2950162235 @default.
- W2767515712 hasRelatedWork W2951369671 @default.
- W2767515712 hasRelatedWork W2952926434 @default.
- W2767515712 hasRelatedWork W2963605647 @default.
- W2767515712 hasRelatedWork W3100896340 @default.
- W2767515712 isParatext "false" @default.
- W2767515712 isRetracted "false" @default.
- W2767515712 magId "2767515712" @default.
- W2767515712 workType "article" @default.