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A representation theorem for measurable relation algebras with cyclic groups |
Tartalom: | http://real.mtak.hu/98569/ |
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Archívum: | REAL |
Gyűjtemény: |
Status = Published
Subject = Q Science / természettudomány: QA Mathematics / matematika: QA72 Algebra / algebra Type = Article |
Cím: |
A representation theorem for measurable relation algebras with cyclic groups
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Létrehozó: |
Andréka, Hajnal
Givant, Steven
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Kiadó: |
American Mathematical Society
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Dátum: |
2019
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Téma: |
QA72 Algebra / algebra
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Tartalmi leírás: |
A relation algebra is measurable if the identity element is a sum of atoms, and the square $ x;1;x$ of each subidentity atom $ x$ is a sum of non-zero functional elements. These functional elements form a group $ G_x$. We prove that a measurable relation algebra in which the groups $ G_x$ are all finite and cyclic is completely representable. A structural description of these algebras is also given.
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Nyelv: |
angol
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Típus: |
Article
PeerReviewed
info:eu-repo/semantics/article
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Formátum: |
text
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Azonosító: |
Andréka, Hajnal and Givant, Steven (2019) A representation theorem for measurable relation algebras with cyclic groups. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 371. pp. 7175-7198. ISSN 0002-9947
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Kapcsolat: |
MTMT:30637118 10.1090/tran/7566
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