Matches in SemOpenAlex for { <https://semopenalex.org/work/W2970517967> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2970517967 endingPage "310" @default.
- W2970517967 startingPage "299" @default.
- W2970517967 abstract "Abstract Let G be an abelian ℓ -group with a strong order unit u > 0. We call G u -clean after Hager, Kimber, and McGovern if every element of G can be written as a sum of a strong order unit of G and a u -component of G . We prove that G is u -clean if and only if u -components of G can be lifted modulo any ℓ -ideal of G . Moreover, we introduce a notion of u -suitable ℓ -groups (as a natural analogue of the corresponding notion in Ring Theory) and we prove that the ℓ -group G is u -clean when and only when it is u -suitable. Also, we show that if E is a vector lattice, then E is u -clean if and only if the space of all u -step functions of E is u -uniformly dense in E . As applications, we will generalize a result by Banaschewski on maximal ℓ -ideals of an archimedean bounded f -algebras to the non-archimedean case. We also extend a result by Miers on polynomially ideal C ( X )-type algebras to the more general setting of bounded f -algebras." @default.
- W2970517967 created "2019-09-05" @default.
- W2970517967 creator A5005577884 @default.
- W2970517967 creator A5077671631 @default.
- W2970517967 date "2018-03-31" @default.
- W2970517967 modified "2023-09-24" @default.
- W2970517967 title "Lifting components in clean abelian ℓ-groups" @default.
- W2970517967 cites W126464832 @default.
- W2970517967 cites W1509724491 @default.
- W2970517967 cites W1582036626 @default.
- W2970517967 cites W1685556310 @default.
- W2970517967 cites W1978968295 @default.
- W2970517967 cites W1983437996 @default.
- W2970517967 cites W2018795070 @default.
- W2970517967 cites W2019263370 @default.
- W2970517967 cites W2049838341 @default.
- W2970517967 cites W2099916937 @default.
- W2970517967 cites W2104431490 @default.
- W2970517967 cites W2118266554 @default.
- W2970517967 cites W2290692759 @default.
- W2970517967 cites W2518471189 @default.
- W2970517967 cites W4255507581 @default.
- W2970517967 cites W573614513 @default.
- W2970517967 cites W587951759 @default.
- W2970517967 cites W6546623 @default.
- W2970517967 doi "https://doi.org/10.1515/ms-2017-0101" @default.
- W2970517967 hasPublicationYear "2018" @default.
- W2970517967 type Work @default.
- W2970517967 sameAs 2970517967 @default.
- W2970517967 citedByCount "1" @default.
- W2970517967 countsByYear W29705179672018 @default.
- W2970517967 crossrefType "journal-article" @default.
- W2970517967 hasAuthorship W2970517967A5005577884 @default.
- W2970517967 hasAuthorship W2970517967A5077671631 @default.
- W2970517967 hasConcept C10138342 @default.
- W2970517967 hasConcept C114614502 @default.
- W2970517967 hasConcept C118211362 @default.
- W2970517967 hasConcept C118615104 @default.
- W2970517967 hasConcept C122637931 @default.
- W2970517967 hasConcept C134306372 @default.
- W2970517967 hasConcept C136170076 @default.
- W2970517967 hasConcept C145420912 @default.
- W2970517967 hasConcept C162324750 @default.
- W2970517967 hasConcept C17744445 @default.
- W2970517967 hasConcept C178790620 @default.
- W2970517967 hasConcept C182306322 @default.
- W2970517967 hasConcept C185592680 @default.
- W2970517967 hasConcept C191948623 @default.
- W2970517967 hasConcept C199539241 @default.
- W2970517967 hasConcept C202444582 @default.
- W2970517967 hasConcept C2776639384 @default.
- W2970517967 hasConcept C2781311116 @default.
- W2970517967 hasConcept C33923547 @default.
- W2970517967 hasConcept C34388435 @default.
- W2970517967 hasConcept C54732982 @default.
- W2970517967 hasConceptScore W2970517967C10138342 @default.
- W2970517967 hasConceptScore W2970517967C114614502 @default.
- W2970517967 hasConceptScore W2970517967C118211362 @default.
- W2970517967 hasConceptScore W2970517967C118615104 @default.
- W2970517967 hasConceptScore W2970517967C122637931 @default.
- W2970517967 hasConceptScore W2970517967C134306372 @default.
- W2970517967 hasConceptScore W2970517967C136170076 @default.
- W2970517967 hasConceptScore W2970517967C145420912 @default.
- W2970517967 hasConceptScore W2970517967C162324750 @default.
- W2970517967 hasConceptScore W2970517967C17744445 @default.
- W2970517967 hasConceptScore W2970517967C178790620 @default.
- W2970517967 hasConceptScore W2970517967C182306322 @default.
- W2970517967 hasConceptScore W2970517967C185592680 @default.
- W2970517967 hasConceptScore W2970517967C191948623 @default.
- W2970517967 hasConceptScore W2970517967C199539241 @default.
- W2970517967 hasConceptScore W2970517967C202444582 @default.
- W2970517967 hasConceptScore W2970517967C2776639384 @default.
- W2970517967 hasConceptScore W2970517967C2781311116 @default.
- W2970517967 hasConceptScore W2970517967C33923547 @default.
- W2970517967 hasConceptScore W2970517967C34388435 @default.
- W2970517967 hasConceptScore W2970517967C54732982 @default.
- W2970517967 hasIssue "2" @default.
- W2970517967 hasLocation W29705179671 @default.
- W2970517967 hasOpenAccess W2970517967 @default.
- W2970517967 hasPrimaryLocation W29705179671 @default.
- W2970517967 hasRelatedWork W1678370088 @default.
- W2970517967 hasRelatedWork W2051951263 @default.
- W2970517967 hasRelatedWork W2077279898 @default.
- W2970517967 hasRelatedWork W2379636414 @default.
- W2970517967 hasRelatedWork W2384411335 @default.
- W2970517967 hasRelatedWork W2781927761 @default.
- W2970517967 hasRelatedWork W2887021274 @default.
- W2970517967 hasRelatedWork W2909259570 @default.
- W2970517967 hasRelatedWork W2995781239 @default.
- W2970517967 hasRelatedWork W4230883232 @default.
- W2970517967 hasVolume "68" @default.
- W2970517967 isParatext "false" @default.
- W2970517967 isRetracted "false" @default.
- W2970517967 magId "2970517967" @default.
- W2970517967 workType "article" @default.