Matches in SemOpenAlex for { <https://semopenalex.org/work/W4380090265> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W4380090265 abstract "Abstract In this paper, we continue the study of the enriched topological representation of $Q$-algebras where $Q$ is a unital quantale and give two kinds of enriched topological representations of $Q$-algebras. The first one is based on strong $M_3$-valued $Q$-algebra homomorphisms, and the second way is based on strong $M_6$-valued $Q$-algebra homomorphisms. For the first way, we first construct a spatial and semiunital $Q$-algebra $M_3$ containing three elements and show that prime elements of semiunital $Q$-algebras are identified with strong $Q$-algebra homomorphisms taking their values in $M_3$. Then we prove that a semiunital $Q$-algebra is spatial iff strong $Q$-algebra homomorphisms with values in $M_3$ separate elements. Based on this, we obtain that every spatial and semiunital $Q$-algebra can be identified with an $M_3$-enriched sober space. For the second enriched topological representation, we construct a spatial and semiunital $Q$-algebra $M_6$ containing exactly six elements and prove that every spatial and semiunital $Q$-algebra can be identified with an $M_6$-enriched sober space." @default.
- W4380090265 created "2023-06-10" @default.
- W4380090265 creator A5037634397 @default.
- W4380090265 date "2023-06-08" @default.
- W4380090265 modified "2023-09-23" @default.
- W4380090265 title "Two kinds of enriched topological representations of <i>Q</i>-algebras" @default.
- W4380090265 cites W1968989621 @default.
- W4380090265 cites W1977611829 @default.
- W4380090265 cites W1990882135 @default.
- W4380090265 cites W2009913738 @default.
- W4380090265 cites W2011659388 @default.
- W4380090265 cites W2019966378 @default.
- W4380090265 cites W2022822283 @default.
- W4380090265 cites W2033804681 @default.
- W4380090265 cites W2044339997 @default.
- W4380090265 cites W2077461991 @default.
- W4380090265 cites W2078432227 @default.
- W4380090265 cites W2137161767 @default.
- W4380090265 cites W2339098090 @default.
- W4380090265 cites W2487483580 @default.
- W4380090265 cites W2914083720 @default.
- W4380090265 cites W2943396731 @default.
- W4380090265 cites W2995367771 @default.
- W4380090265 cites W3140162241 @default.
- W4380090265 cites W3159902017 @default.
- W4380090265 cites W4213427446 @default.
- W4380090265 cites W4237722035 @default.
- W4380090265 cites W4244624434 @default.
- W4380090265 cites W4280628439 @default.
- W4380090265 doi "https://doi.org/10.1093/logcom/exad029" @default.
- W4380090265 hasPublicationYear "2023" @default.
- W4380090265 type Work @default.
- W4380090265 citedByCount "0" @default.
- W4380090265 crossrefType "journal-article" @default.
- W4380090265 hasAuthorship W4380090265A5037634397 @default.
- W4380090265 hasConcept C111919701 @default.
- W4380090265 hasConcept C114614502 @default.
- W4380090265 hasConcept C118615104 @default.
- W4380090265 hasConcept C136119220 @default.
- W4380090265 hasConcept C184720557 @default.
- W4380090265 hasConcept C202444582 @default.
- W4380090265 hasConcept C2778572836 @default.
- W4380090265 hasConcept C33923547 @default.
- W4380090265 hasConcept C4042151 @default.
- W4380090265 hasConcept C41008148 @default.
- W4380090265 hasConcept C81332173 @default.
- W4380090265 hasConceptScore W4380090265C111919701 @default.
- W4380090265 hasConceptScore W4380090265C114614502 @default.
- W4380090265 hasConceptScore W4380090265C118615104 @default.
- W4380090265 hasConceptScore W4380090265C136119220 @default.
- W4380090265 hasConceptScore W4380090265C184720557 @default.
- W4380090265 hasConceptScore W4380090265C202444582 @default.
- W4380090265 hasConceptScore W4380090265C2778572836 @default.
- W4380090265 hasConceptScore W4380090265C33923547 @default.
- W4380090265 hasConceptScore W4380090265C4042151 @default.
- W4380090265 hasConceptScore W4380090265C41008148 @default.
- W4380090265 hasConceptScore W4380090265C81332173 @default.
- W4380090265 hasLocation W43800902651 @default.
- W4380090265 hasOpenAccess W4380090265 @default.
- W4380090265 hasPrimaryLocation W43800902651 @default.
- W4380090265 hasRelatedWork W2032796898 @default.
- W4380090265 hasRelatedWork W2354885222 @default.
- W4380090265 hasRelatedWork W2356702416 @default.
- W4380090265 hasRelatedWork W2381544357 @default.
- W4380090265 hasRelatedWork W2473857262 @default.
- W4380090265 hasRelatedWork W3091834317 @default.
- W4380090265 hasRelatedWork W3112765868 @default.
- W4380090265 hasRelatedWork W4220945837 @default.
- W4380090265 hasRelatedWork W4240828368 @default.
- W4380090265 hasRelatedWork W4376620846 @default.
- W4380090265 isParatext "false" @default.
- W4380090265 isRetracted "false" @default.
- W4380090265 workType "article" @default.