Matches in SemOpenAlex for { <https://semopenalex.org/work/W2073013015> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2073013015 endingPage "283" @default.
- W2073013015 startingPage "283" @default.
- W2073013015 abstract "Let G be a totally ordered commutative group. For each nonzero element $g in G$, let $L(g)$ denote the largest convex subgroup of G not containing g. Denote by $U(g)$ the smallest convex subgroup of G that contains g. The group G is said to be generalized discrete if $U(g)/L(g)$ is order isomorphic to the additive group of integers for all $g ne 0$ in G. This paper is principally concerned with the structure of generalized discrete groups. In particular, the problem of embedding a generalized discrete group in the lexicographic product of its components, $U(g)/L(g)$, is studied. We prove that such an embedding is not always possible (contrary to statements in the literature). However, we do establish the validity of this embedding when G is countable. In case F is o-separable as well as countable, the structure of G is completely determined." @default.
- W2073013015 created "2016-06-24" @default.
- W2073013015 creator A5034964980 @default.
- W2073013015 creator A5083859841 @default.
- W2073013015 date "1973-01-01" @default.
- W2073013015 modified "2023-09-26" @default.
- W2073013015 title "Embedding theorems and generalized discrete ordered abelian groups" @default.
- W2073013015 cites W1547534813 @default.
- W2073013015 cites W1551345846 @default.
- W2073013015 cites W1573036064 @default.
- W2073013015 cites W1971464376 @default.
- W2073013015 cites W1975783137 @default.
- W2073013015 cites W1988145183 @default.
- W2073013015 cites W1989312182 @default.
- W2073013015 cites W1994027286 @default.
- W2073013015 cites W2006088999 @default.
- W2073013015 cites W2036334014 @default.
- W2073013015 cites W2040628165 @default.
- W2073013015 cites W2070761622 @default.
- W2073013015 cites W2074365765 @default.
- W2073013015 cites W2313751139 @default.
- W2073013015 cites W2322706357 @default.
- W2073013015 cites W2330062860 @default.
- W2073013015 cites W2741246747 @default.
- W2073013015 cites W561491706 @default.
- W2073013015 doi "https://doi.org/10.1090/s0002-9947-1973-0311540-6" @default.
- W2073013015 hasPublicationYear "1973" @default.
- W2073013015 type Work @default.
- W2073013015 sameAs 2073013015 @default.
- W2073013015 citedByCount "3" @default.
- W2073013015 crossrefType "journal-article" @default.
- W2073013015 hasAuthorship W2073013015A5034964980 @default.
- W2073013015 hasAuthorship W2073013015A5083859841 @default.
- W2073013015 hasBestOaLocation W20730130151 @default.
- W2073013015 hasConcept C10138342 @default.
- W2073013015 hasConcept C105515060 @default.
- W2073013015 hasConcept C110729354 @default.
- W2073013015 hasConcept C114614502 @default.
- W2073013015 hasConcept C118615104 @default.
- W2073013015 hasConcept C134306372 @default.
- W2073013015 hasConcept C136170076 @default.
- W2073013015 hasConcept C154945302 @default.
- W2073013015 hasConcept C162324750 @default.
- W2073013015 hasConcept C178790620 @default.
- W2073013015 hasConcept C182306322 @default.
- W2073013015 hasConcept C185592680 @default.
- W2073013015 hasConcept C2524010 @default.
- W2073013015 hasConcept C2781311116 @default.
- W2073013015 hasConcept C30236536 @default.
- W2073013015 hasConcept C33923547 @default.
- W2073013015 hasConcept C41008148 @default.
- W2073013015 hasConcept C41608201 @default.
- W2073013015 hasConcept C46467970 @default.
- W2073013015 hasConcept C55792552 @default.
- W2073013015 hasConcept C70710897 @default.
- W2073013015 hasConcept C90673727 @default.
- W2073013015 hasConceptScore W2073013015C10138342 @default.
- W2073013015 hasConceptScore W2073013015C105515060 @default.
- W2073013015 hasConceptScore W2073013015C110729354 @default.
- W2073013015 hasConceptScore W2073013015C114614502 @default.
- W2073013015 hasConceptScore W2073013015C118615104 @default.
- W2073013015 hasConceptScore W2073013015C134306372 @default.
- W2073013015 hasConceptScore W2073013015C136170076 @default.
- W2073013015 hasConceptScore W2073013015C154945302 @default.
- W2073013015 hasConceptScore W2073013015C162324750 @default.
- W2073013015 hasConceptScore W2073013015C178790620 @default.
- W2073013015 hasConceptScore W2073013015C182306322 @default.
- W2073013015 hasConceptScore W2073013015C185592680 @default.
- W2073013015 hasConceptScore W2073013015C2524010 @default.
- W2073013015 hasConceptScore W2073013015C2781311116 @default.
- W2073013015 hasConceptScore W2073013015C30236536 @default.
- W2073013015 hasConceptScore W2073013015C33923547 @default.
- W2073013015 hasConceptScore W2073013015C41008148 @default.
- W2073013015 hasConceptScore W2073013015C41608201 @default.
- W2073013015 hasConceptScore W2073013015C46467970 @default.
- W2073013015 hasConceptScore W2073013015C55792552 @default.
- W2073013015 hasConceptScore W2073013015C70710897 @default.
- W2073013015 hasConceptScore W2073013015C90673727 @default.
- W2073013015 hasLocation W20730130151 @default.
- W2073013015 hasOpenAccess W2073013015 @default.
- W2073013015 hasPrimaryLocation W20730130151 @default.
- W2073013015 hasRelatedWork W1537044426 @default.
- W2073013015 hasRelatedWork W1580435510 @default.
- W2073013015 hasRelatedWork W1992432326 @default.
- W2073013015 hasRelatedWork W2029138855 @default.
- W2073013015 hasRelatedWork W2043901713 @default.
- W2073013015 hasRelatedWork W2242849353 @default.
- W2073013015 hasRelatedWork W2361433908 @default.
- W2073013015 hasRelatedWork W2373366702 @default.
- W2073013015 hasRelatedWork W3087698104 @default.
- W2073013015 hasRelatedWork W3101320206 @default.
- W2073013015 hasVolume "175" @default.
- W2073013015 isParatext "false" @default.
- W2073013015 isRetracted "false" @default.
- W2073013015 magId "2073013015" @default.
- W2073013015 workType "article" @default.