Matches in SemOpenAlex for { <https://semopenalex.org/work/W2020685671> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W2020685671 endingPage "165" @default.
- W2020685671 startingPage "149" @default.
- W2020685671 abstract "Roiter proved that for a given Z -order Λ in a semisimple Q -algebra, there is a positive integer n = n ( Λ ) such that there are at most n nonisomorphic Λ-lattices which are all locally isomorphic. The main result of this article is to extend this result to finitely generated Λ-modules. One can work over other Dedekind domains D . If it is only assumed that the residue fields of D are finite, then it is shown that M ⊕ X ≅ N ⊕ X implies e copies of M are isomorphic to e copies of N for some e = e ( Λ ) for M , N , and X finitely generated Λ-Modules. Jacobinski proved there is an extension field k (depending only on Λ) such that two Λ-lattices become isomorphic under an extension of scalars to the integers of k if and only if they are locally isomorphic. This result is extended to modules, and also an analog of this result is proved for arbitrary Dedekind domains." @default.
- W2020685671 created "2016-06-24" @default.
- W2020685671 creator A5074257800 @default.
- W2020685671 date "1987-06-01" @default.
- W2020685671 modified "2023-10-17" @default.
- W2020685671 title "The genus of a module II. Roiter's theorem, power cancellation and extension of scalars" @default.
- W2020685671 cites W1969957492 @default.
- W2020685671 cites W1970494570 @default.
- W2020685671 cites W1976312095 @default.
- W2020685671 cites W1976765361 @default.
- W2020685671 cites W1991373726 @default.
- W2020685671 cites W1992632942 @default.
- W2020685671 cites W2055265077 @default.
- W2020685671 cites W2087863622 @default.
- W2020685671 cites W2092084040 @default.
- W2020685671 cites W2116716120 @default.
- W2020685671 cites W2120388241 @default.
- W2020685671 cites W2611658699 @default.
- W2020685671 cites W93178016 @default.
- W2020685671 doi "https://doi.org/10.1016/0022-314x(87)90075-8" @default.
- W2020685671 hasPublicationYear "1987" @default.
- W2020685671 type Work @default.
- W2020685671 sameAs 2020685671 @default.
- W2020685671 citedByCount "15" @default.
- W2020685671 crossrefType "journal-article" @default.
- W2020685671 hasAuthorship W2020685671A5074257800 @default.
- W2020685671 hasConcept C10138342 @default.
- W2020685671 hasConcept C114614502 @default.
- W2020685671 hasConcept C118615104 @default.
- W2020685671 hasConcept C162324750 @default.
- W2020685671 hasConcept C162860070 @default.
- W2020685671 hasConcept C182306322 @default.
- W2020685671 hasConcept C199360897 @default.
- W2020685671 hasConcept C202444582 @default.
- W2020685671 hasConcept C2778029271 @default.
- W2020685671 hasConcept C33923547 @default.
- W2020685671 hasConcept C41008148 @default.
- W2020685671 hasConcept C76449584 @default.
- W2020685671 hasConcept C9652623 @default.
- W2020685671 hasConcept C97137487 @default.
- W2020685671 hasConceptScore W2020685671C10138342 @default.
- W2020685671 hasConceptScore W2020685671C114614502 @default.
- W2020685671 hasConceptScore W2020685671C118615104 @default.
- W2020685671 hasConceptScore W2020685671C162324750 @default.
- W2020685671 hasConceptScore W2020685671C162860070 @default.
- W2020685671 hasConceptScore W2020685671C182306322 @default.
- W2020685671 hasConceptScore W2020685671C199360897 @default.
- W2020685671 hasConceptScore W2020685671C202444582 @default.
- W2020685671 hasConceptScore W2020685671C2778029271 @default.
- W2020685671 hasConceptScore W2020685671C33923547 @default.
- W2020685671 hasConceptScore W2020685671C41008148 @default.
- W2020685671 hasConceptScore W2020685671C76449584 @default.
- W2020685671 hasConceptScore W2020685671C9652623 @default.
- W2020685671 hasConceptScore W2020685671C97137487 @default.
- W2020685671 hasIssue "2" @default.
- W2020685671 hasLocation W20206856711 @default.
- W2020685671 hasOpenAccess W2020685671 @default.
- W2020685671 hasPrimaryLocation W20206856711 @default.
- W2020685671 hasRelatedWork W1967271118 @default.
- W2020685671 hasRelatedWork W1984046823 @default.
- W2020685671 hasRelatedWork W2005925509 @default.
- W2020685671 hasRelatedWork W2741314834 @default.
- W2020685671 hasRelatedWork W2963644539 @default.
- W2020685671 hasRelatedWork W3000043859 @default.
- W2020685671 hasRelatedWork W3000608781 @default.
- W2020685671 hasRelatedWork W3080663663 @default.
- W2020685671 hasRelatedWork W4253051680 @default.
- W2020685671 hasRelatedWork W4254225956 @default.
- W2020685671 hasVolume "26" @default.
- W2020685671 isParatext "false" @default.
- W2020685671 isRetracted "false" @default.
- W2020685671 magId "2020685671" @default.
- W2020685671 workType "article" @default.