О гиперграфах минимальных и простых моделей теорий абелевых групп = On Hypergraphs of Minimal and Prime Models of Theories of Abelian Groups Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
||||||
|---|---|---|---|---|---|---|---|
| Output data | Year: 2020, Volume: 17, Pages: 1137-1154 Pages count : 18 DOI: 10.33048/semi.2020.17.086 | ||||||
| Tags | hypergraph of models, minimal model, prime model, abelian group, elementary theory | ||||||
| Authors |
|
||||||
| Affiliations |
|
Abstract:
We systematize known results about minimal and prime models of theories of abelian groups. Based on these results we describe properties and provide structural ones on hypergraphs of models for theories of abelian groups. In particular, we characterize non-emptiness and infiniteness of hypergraphs of minimal and prime models. We give necessary and sufficient conditions for almost disjointness of the respective hypergraphs. We also characterize conditions of preservation for nonemptiness and disjointness of hypergraphs of minimal and prime models at transformations to direct sums of groups.
Cite:
Судоплатов С.В.
О гиперграфах минимальных и простых моделей теорий абелевых групп = On Hypergraphs of Minimal and Prime Models of Theories of Abelian Groups
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2020. Т.17. С.1137-1154. DOI: 10.33048/semi.2020.17.086 WOS Scopus РИНЦ OpenAlex
О гиперграфах минимальных и простых моделей теорий абелевых групп = On Hypergraphs of Minimal and Prime Models of Theories of Abelian Groups
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2020. Т.17. С.1137-1154. DOI: 10.33048/semi.2020.17.086 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jul 24, 2020 |
| Published online: | Aug 21, 2020 |
Identifiers:
| Web of science: | WOS:000561109200001 |
| Scopus: | 2-s2.0-85099349053 |
| Elibrary: | 44726597 |
| OpenAlex: | W3115840265 |