Matches in SemOpenAlex for { <https://semopenalex.org/work/W3216263256> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W3216263256 endingPage "2473" @default.
- W3216263256 startingPage "2446" @default.
- W3216263256 abstract "Abstract Let $A$ be a finitely presented associative monomial algebra. We study the category $textsf{qgr}(A)$, which is a quotient of the category of graded finitely presented $A$-modules by the finite-dimensional ones. As this category plays a role of the category of coherent sheaves on the corresponding noncommutative variety, we consider its bounded derived category $textbf{D}^b(textsf{qgr}(A))$. We calculate the categorical entropy of the Serre twist functor on $textbf{D}^b(textsf{qgr}(A))$ and show that it is equal to the (natural) logarithm of the entropy of the algebra $A$ itself. Moreover, we relate these two kinds of entropy with the topological entropy of the Ufnarovski graph of $A$ and the entropy of the path algebra of the graph. If $A$ is a path algebra of some quiver, the categorical entropy is equal to the logarithm of the spectral radius of the quiver’s adjacency matrix." @default.
- W3216263256 created "2021-12-06" @default.
- W3216263256 creator A5021946460 @default.
- W3216263256 creator A5054646983 @default.
- W3216263256 date "2021-11-16" @default.
- W3216263256 modified "2023-09-23" @default.
- W3216263256 title "Entropy of Monomial Algebras and Derived Categories" @default.
- W3216263256 cites W1486556862 @default.
- W3216263256 cites W1625172500 @default.
- W3216263256 cites W1977977292 @default.
- W3216263256 cites W1979339332 @default.
- W3216263256 cites W1991121321 @default.
- W3216263256 cites W1998086880 @default.
- W3216263256 cites W2004844071 @default.
- W3216263256 cites W2014902060 @default.
- W3216263256 cites W2023007275 @default.
- W3216263256 cites W2025883030 @default.
- W3216263256 cites W2028117629 @default.
- W3216263256 cites W2040919732 @default.
- W3216263256 cites W2042720934 @default.
- W3216263256 cites W2063543591 @default.
- W3216263256 cites W2064598731 @default.
- W3216263256 cites W2079378892 @default.
- W3216263256 cites W2086052169 @default.
- W3216263256 cites W2132506225 @default.
- W3216263256 cites W2164933268 @default.
- W3216263256 cites W2260653366 @default.
- W3216263256 cites W2262763467 @default.
- W3216263256 cites W2609926096 @default.
- W3216263256 cites W2963668639 @default.
- W3216263256 cites W2964712560 @default.
- W3216263256 cites W3015395599 @default.
- W3216263256 cites W3025417828 @default.
- W3216263256 cites W326622104 @default.
- W3216263256 cites W4213022453 @default.
- W3216263256 doi "https://doi.org/10.1093/imrn/rnab312" @default.
- W3216263256 hasPublicationYear "2021" @default.
- W3216263256 type Work @default.
- W3216263256 sameAs 3216263256 @default.
- W3216263256 citedByCount "0" @default.
- W3216263256 crossrefType "journal-article" @default.
- W3216263256 hasAuthorship W3216263256A5021946460 @default.
- W3216263256 hasAuthorship W3216263256A5054646983 @default.
- W3216263256 hasBestOaLocation W32162632562 @default.
- W3216263256 hasConcept C109593458 @default.
- W3216263256 hasConcept C114614502 @default.
- W3216263256 hasConcept C118615104 @default.
- W3216263256 hasConcept C136119220 @default.
- W3216263256 hasConcept C156772000 @default.
- W3216263256 hasConcept C168310172 @default.
- W3216263256 hasConcept C202444582 @default.
- W3216263256 hasConcept C2780350623 @default.
- W3216263256 hasConcept C33923547 @default.
- W3216263256 hasConcept C68797384 @default.
- W3216263256 hasConceptScore W3216263256C109593458 @default.
- W3216263256 hasConceptScore W3216263256C114614502 @default.
- W3216263256 hasConceptScore W3216263256C118615104 @default.
- W3216263256 hasConceptScore W3216263256C136119220 @default.
- W3216263256 hasConceptScore W3216263256C156772000 @default.
- W3216263256 hasConceptScore W3216263256C168310172 @default.
- W3216263256 hasConceptScore W3216263256C202444582 @default.
- W3216263256 hasConceptScore W3216263256C2780350623 @default.
- W3216263256 hasConceptScore W3216263256C33923547 @default.
- W3216263256 hasConceptScore W3216263256C68797384 @default.
- W3216263256 hasIssue "3" @default.
- W3216263256 hasLocation W32162632561 @default.
- W3216263256 hasLocation W32162632562 @default.
- W3216263256 hasOpenAccess W3216263256 @default.
- W3216263256 hasPrimaryLocation W32162632561 @default.
- W3216263256 hasRelatedWork W1910585111 @default.
- W3216263256 hasRelatedWork W2005080505 @default.
- W3216263256 hasRelatedWork W2147428910 @default.
- W3216263256 hasRelatedWork W2403387314 @default.
- W3216263256 hasRelatedWork W2964182271 @default.
- W3216263256 hasRelatedWork W3134624628 @default.
- W3216263256 hasRelatedWork W3216263256 @default.
- W3216263256 hasRelatedWork W4301205229 @default.
- W3216263256 hasRelatedWork W4301266044 @default.
- W3216263256 hasRelatedWork W4306801121 @default.
- W3216263256 hasVolume "2023" @default.
- W3216263256 isParatext "false" @default.
- W3216263256 isRetracted "false" @default.
- W3216263256 magId "3216263256" @default.
- W3216263256 workType "article" @default.