Matches in SemOpenAlex for { <https://semopenalex.org/work/W1998668999> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W1998668999 endingPage "116" @default.
- W1998668999 startingPage "111" @default.
- W1998668999 abstract "Let k be a field of characteristic zero and F : k n → k n a polynomial map with det JFϵk ∗ and F (0)=0. Using the Euler operator it is shown that if the k -subalgebra of M n ( k [ k 1 ,…, x n ]) generated by the homogeneous components of the matrices JF and ( JF ) -1 is finite-dimensional over k and such that each element in it is a Jacobian matrix, then F is invertible. This implies a result of Connell and Zweibel. Furthermore, it is shown that the Jacobian Conjecture is equivalent with the statement that for every F with det JF ϵ k ∗ and F (0)=0, the shifted Euler operator 1+ΣF i ( ∂ ∂F i ) is Eulerian." @default.
- W1998668999 created "2016-06-24" @default.
- W1998668999 creator A5027596937 @default.
- W1998668999 creator A5068272845 @default.
- W1998668999 date "1992-08-01" @default.
- W1998668999 modified "2023-10-01" @default.
- W1998668999 title "Eulerian operators and the Jacobian Conjecture, III" @default.
- W1998668999 cites W1999143812 @default.
- W1998668999 cites W1999729355 @default.
- W1998668999 cites W2000115312 @default.
- W1998668999 cites W2002784482 @default.
- W1998668999 cites W2005424423 @default.
- W1998668999 cites W2035504049 @default.
- W1998668999 cites W2046712067 @default.
- W1998668999 cites W2081461845 @default.
- W1998668999 cites W2136003379 @default.
- W1998668999 cites W2258430560 @default.
- W1998668999 doi "https://doi.org/10.1016/0022-4049(92)90001-v" @default.
- W1998668999 hasPublicationYear "1992" @default.
- W1998668999 type Work @default.
- W1998668999 sameAs 1998668999 @default.
- W1998668999 citedByCount "1" @default.
- W1998668999 countsByYear W19986689992012 @default.
- W1998668999 crossrefType "journal-article" @default.
- W1998668999 hasAuthorship W1998668999A5027596937 @default.
- W1998668999 hasAuthorship W1998668999A5068272845 @default.
- W1998668999 hasBestOaLocation W19986689991 @default.
- W1998668999 hasConcept C104317684 @default.
- W1998668999 hasConcept C114614502 @default.
- W1998668999 hasConcept C118615104 @default.
- W1998668999 hasConcept C134306372 @default.
- W1998668999 hasConcept C158448853 @default.
- W1998668999 hasConcept C17020691 @default.
- W1998668999 hasConcept C185592680 @default.
- W1998668999 hasConcept C200331156 @default.
- W1998668999 hasConcept C202444582 @default.
- W1998668999 hasConcept C2780990831 @default.
- W1998668999 hasConcept C28826006 @default.
- W1998668999 hasConcept C33923547 @default.
- W1998668999 hasConcept C43058520 @default.
- W1998668999 hasConcept C53469067 @default.
- W1998668999 hasConcept C55493867 @default.
- W1998668999 hasConcept C62884695 @default.
- W1998668999 hasConcept C86339819 @default.
- W1998668999 hasConcept C96442724 @default.
- W1998668999 hasConcept C9652623 @default.
- W1998668999 hasConceptScore W1998668999C104317684 @default.
- W1998668999 hasConceptScore W1998668999C114614502 @default.
- W1998668999 hasConceptScore W1998668999C118615104 @default.
- W1998668999 hasConceptScore W1998668999C134306372 @default.
- W1998668999 hasConceptScore W1998668999C158448853 @default.
- W1998668999 hasConceptScore W1998668999C17020691 @default.
- W1998668999 hasConceptScore W1998668999C185592680 @default.
- W1998668999 hasConceptScore W1998668999C200331156 @default.
- W1998668999 hasConceptScore W1998668999C202444582 @default.
- W1998668999 hasConceptScore W1998668999C2780990831 @default.
- W1998668999 hasConceptScore W1998668999C28826006 @default.
- W1998668999 hasConceptScore W1998668999C33923547 @default.
- W1998668999 hasConceptScore W1998668999C43058520 @default.
- W1998668999 hasConceptScore W1998668999C53469067 @default.
- W1998668999 hasConceptScore W1998668999C55493867 @default.
- W1998668999 hasConceptScore W1998668999C62884695 @default.
- W1998668999 hasConceptScore W1998668999C86339819 @default.
- W1998668999 hasConceptScore W1998668999C96442724 @default.
- W1998668999 hasConceptScore W1998668999C9652623 @default.
- W1998668999 hasIssue "2" @default.
- W1998668999 hasLocation W19986689991 @default.
- W1998668999 hasOpenAccess W1998668999 @default.
- W1998668999 hasPrimaryLocation W19986689991 @default.
- W1998668999 hasRelatedWork W1536863014 @default.
- W1998668999 hasRelatedWork W1661688587 @default.
- W1998668999 hasRelatedWork W1999959061 @default.
- W1998668999 hasRelatedWork W2122029692 @default.
- W1998668999 hasRelatedWork W2606009334 @default.
- W1998668999 hasRelatedWork W2625387440 @default.
- W1998668999 hasRelatedWork W2885318960 @default.
- W1998668999 hasRelatedWork W2964292522 @default.
- W1998668999 hasRelatedWork W3163937182 @default.
- W1998668999 hasRelatedWork W3196741607 @default.
- W1998668999 hasVolume "81" @default.
- W1998668999 isParatext "false" @default.
- W1998668999 isRetracted "false" @default.
- W1998668999 magId "1998668999" @default.
- W1998668999 workType "article" @default.