Matches in SemOpenAlex for { <https://semopenalex.org/work/W2284163586> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2284163586 abstract "We introduce an idempotent analogue of the exterior algebra for which the theory of tropical linear spaces (and valuated matroids) can be seen in close analogy with the classical Grassmann algebra formalism for linear spaces. The top wedge power of a tropical linear space is its Plucker vector, which we view as a tensor, and a tropical linear space is recovered from its Plucker vector as the kernel of the corresponding wedge multiplication map. We prove that an arbitrary d-tensor satisfies the tropical Plucker relations (valuated exchange axiom) if and only if the d-th wedge power of the kernel of wedge-multiplication is free of rank one. This provides a new cryptomorphism for valuated matroids, including ordinary matroids as a special case." @default.
- W2284163586 created "2016-06-24" @default.
- W2284163586 creator A5033650471 @default.
- W2284163586 creator A5057669183 @default.
- W2284163586 date "2015-10-15" @default.
- W2284163586 modified "2023-09-27" @default.
- W2284163586 title "A Grassmann algebra for matroids" @default.
- W2284163586 cites W193644892 @default.
- W2284163586 cites W2033172904 @default.
- W2284163586 cites W2037065245 @default.
- W2284163586 cites W2079988604 @default.
- W2284163586 cites W2083018436 @default.
- W2284163586 cites W2091715579 @default.
- W2284163586 cites W2091861938 @default.
- W2284163586 cites W2094571546 @default.
- W2284163586 cites W2126241759 @default.
- W2284163586 cites W2131440188 @default.
- W2284163586 cites W2330548796 @default.
- W2284163586 cites W2580685744 @default.
- W2284163586 cites W2963048153 @default.
- W2284163586 cites W3099409833 @default.
- W2284163586 hasPublicationYear "2015" @default.
- W2284163586 type Work @default.
- W2284163586 sameAs 2284163586 @default.
- W2284163586 citedByCount "2" @default.
- W2284163586 countsByYear W22841635862016 @default.
- W2284163586 crossrefType "posted-content" @default.
- W2284163586 hasAuthorship W2284163586A5033650471 @default.
- W2284163586 hasAuthorship W2284163586A5057669183 @default.
- W2284163586 hasConcept C100376341 @default.
- W2284163586 hasConcept C106286213 @default.
- W2284163586 hasConcept C114614502 @default.
- W2284163586 hasConcept C13336665 @default.
- W2284163586 hasConcept C136119220 @default.
- W2284163586 hasConcept C139352143 @default.
- W2284163586 hasConcept C14394260 @default.
- W2284163586 hasConcept C172252984 @default.
- W2284163586 hasConcept C176370821 @default.
- W2284163586 hasConcept C202444582 @default.
- W2284163586 hasConcept C2524010 @default.
- W2284163586 hasConcept C33923547 @default.
- W2284163586 hasConcept C47422493 @default.
- W2284163586 hasConcept C51255310 @default.
- W2284163586 hasConcept C60321788 @default.
- W2284163586 hasConcept C94863793 @default.
- W2284163586 hasConceptScore W2284163586C100376341 @default.
- W2284163586 hasConceptScore W2284163586C106286213 @default.
- W2284163586 hasConceptScore W2284163586C114614502 @default.
- W2284163586 hasConceptScore W2284163586C13336665 @default.
- W2284163586 hasConceptScore W2284163586C136119220 @default.
- W2284163586 hasConceptScore W2284163586C139352143 @default.
- W2284163586 hasConceptScore W2284163586C14394260 @default.
- W2284163586 hasConceptScore W2284163586C172252984 @default.
- W2284163586 hasConceptScore W2284163586C176370821 @default.
- W2284163586 hasConceptScore W2284163586C202444582 @default.
- W2284163586 hasConceptScore W2284163586C2524010 @default.
- W2284163586 hasConceptScore W2284163586C33923547 @default.
- W2284163586 hasConceptScore W2284163586C47422493 @default.
- W2284163586 hasConceptScore W2284163586C51255310 @default.
- W2284163586 hasConceptScore W2284163586C60321788 @default.
- W2284163586 hasConceptScore W2284163586C94863793 @default.
- W2284163586 hasLocation W22841635861 @default.
- W2284163586 hasOpenAccess W2284163586 @default.
- W2284163586 hasPrimaryLocation W22841635861 @default.
- W2284163586 hasRelatedWork W1491726941 @default.
- W2284163586 hasRelatedWork W1555691271 @default.
- W2284163586 hasRelatedWork W1631617485 @default.
- W2284163586 hasRelatedWork W1666241392 @default.
- W2284163586 hasRelatedWork W1727191916 @default.
- W2284163586 hasRelatedWork W1992230325 @default.
- W2284163586 hasRelatedWork W1993208029 @default.
- W2284163586 hasRelatedWork W2022718409 @default.
- W2284163586 hasRelatedWork W2028713753 @default.
- W2284163586 hasRelatedWork W2031117500 @default.
- W2284163586 hasRelatedWork W2152629266 @default.
- W2284163586 hasRelatedWork W2158894180 @default.
- W2284163586 hasRelatedWork W2159968465 @default.
- W2284163586 hasRelatedWork W2246020646 @default.
- W2284163586 hasRelatedWork W2291762029 @default.
- W2284163586 hasRelatedWork W262393575 @default.
- W2284163586 hasRelatedWork W2951639154 @default.
- W2284163586 hasRelatedWork W2964153815 @default.
- W2284163586 hasRelatedWork W2981103301 @default.
- W2284163586 hasRelatedWork W79704129 @default.
- W2284163586 isParatext "false" @default.
- W2284163586 isRetracted "false" @default.
- W2284163586 magId "2284163586" @default.
- W2284163586 workType "article" @default.