Matches in SemOpenAlex for { <https://semopenalex.org/work/W3159352419> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W3159352419 abstract "Let $X$ be a finite set, $Z subseteq X$ and $y notin X$. Marcel Erne showed in 1981, that the number of posets on $X$ containing $Z$ as an antichain equals the number of posets $R$ on $X cup { y }$ in which the points of $Z cup { y }$ are exactly the maximal points of $R$. We prove the following generalization: For every poset $Q$ with carrier $Z$, the number of posets on $X$ containing $Q$ as an induced sub-poset equals the number of posets $R$ on $X cup { y }$ which contain $Q^d + A_y$ as an induced sub-poset and in which the maximal points of $Q^d + A_y$ are exactly the maximal points of $R$. Here, $Q^d$ is the dual of $Q$, $A_y$ is the singleton-poset on $y$, and $Q^d + A_y$ denotes the direct sum of $Q^d$ and $A_y$." @default.
- W3159352419 created "2021-05-10" @default.
- W3159352419 creator A5073260511 @default.
- W3159352419 date "2021-05-03" @default.
- W3159352419 modified "2023-09-27" @default.
- W3159352419 title "A generalization of a theorem of Ern'{e}" @default.
- W3159352419 cites W1489835687 @default.
- W3159352419 cites W1514752746 @default.
- W3159352419 cites W1614792014 @default.
- W3159352419 cites W166727247 @default.
- W3159352419 cites W1672648660 @default.
- W3159352419 cites W1679673188 @default.
- W3159352419 cites W1964062539 @default.
- W3159352419 cites W1967223908 @default.
- W3159352419 cites W1968473297 @default.
- W3159352419 cites W1997713922 @default.
- W3159352419 cites W2002659006 @default.
- W3159352419 cites W2006026808 @default.
- W3159352419 cites W2013668501 @default.
- W3159352419 cites W2026752015 @default.
- W3159352419 cites W2044359774 @default.
- W3159352419 cites W2067044524 @default.
- W3159352419 cites W2072270875 @default.
- W3159352419 cites W2081782633 @default.
- W3159352419 cites W2102465305 @default.
- W3159352419 cites W2116612284 @default.
- W3159352419 cites W2170258711 @default.
- W3159352419 cites W2170576960 @default.
- W3159352419 cites W2786521376 @default.
- W3159352419 cites W2806309737 @default.
- W3159352419 cites W3142099649 @default.
- W3159352419 cites W2130814119 @default.
- W3159352419 hasPublicationYear "2021" @default.
- W3159352419 type Work @default.
- W3159352419 sameAs 3159352419 @default.
- W3159352419 citedByCount "0" @default.
- W3159352419 crossrefType "posted-content" @default.
- W3159352419 hasAuthorship W3159352419A5073260511 @default.
- W3159352419 hasConcept C114614502 @default.
- W3159352419 hasConcept C117354338 @default.
- W3159352419 hasConcept C118615104 @default.
- W3159352419 hasConcept C134306372 @default.
- W3159352419 hasConcept C136134351 @default.
- W3159352419 hasConcept C177148314 @default.
- W3159352419 hasConcept C180645754 @default.
- W3159352419 hasConcept C195800304 @default.
- W3159352419 hasConcept C2779234561 @default.
- W3159352419 hasConcept C33923547 @default.
- W3159352419 hasConcept C54355233 @default.
- W3159352419 hasConcept C86803240 @default.
- W3159352419 hasConceptScore W3159352419C114614502 @default.
- W3159352419 hasConceptScore W3159352419C117354338 @default.
- W3159352419 hasConceptScore W3159352419C118615104 @default.
- W3159352419 hasConceptScore W3159352419C134306372 @default.
- W3159352419 hasConceptScore W3159352419C136134351 @default.
- W3159352419 hasConceptScore W3159352419C177148314 @default.
- W3159352419 hasConceptScore W3159352419C180645754 @default.
- W3159352419 hasConceptScore W3159352419C195800304 @default.
- W3159352419 hasConceptScore W3159352419C2779234561 @default.
- W3159352419 hasConceptScore W3159352419C33923547 @default.
- W3159352419 hasConceptScore W3159352419C54355233 @default.
- W3159352419 hasConceptScore W3159352419C86803240 @default.
- W3159352419 hasLocation W31593524191 @default.
- W3159352419 hasOpenAccess W3159352419 @default.
- W3159352419 hasPrimaryLocation W31593524191 @default.
- W3159352419 hasRelatedWork W1566189259 @default.
- W3159352419 hasRelatedWork W1973325853 @default.
- W3159352419 hasRelatedWork W1980757104 @default.
- W3159352419 hasRelatedWork W1995331345 @default.
- W3159352419 hasRelatedWork W2021781420 @default.
- W3159352419 hasRelatedWork W2022866238 @default.
- W3159352419 hasRelatedWork W2037708290 @default.
- W3159352419 hasRelatedWork W2072090424 @default.
- W3159352419 hasRelatedWork W2088191666 @default.
- W3159352419 hasRelatedWork W2552788888 @default.
- W3159352419 hasRelatedWork W2587092165 @default.
- W3159352419 hasRelatedWork W2734660468 @default.
- W3159352419 hasRelatedWork W2811177080 @default.
- W3159352419 hasRelatedWork W2936183269 @default.
- W3159352419 hasRelatedWork W2952036845 @default.
- W3159352419 hasRelatedWork W2962713431 @default.
- W3159352419 hasRelatedWork W2963562139 @default.
- W3159352419 hasRelatedWork W3037428931 @default.
- W3159352419 hasRelatedWork W3194926500 @default.
- W3159352419 hasRelatedWork W3213718006 @default.
- W3159352419 isParatext "false" @default.
- W3159352419 isRetracted "false" @default.
- W3159352419 magId "3159352419" @default.
- W3159352419 workType "article" @default.