Lattices in generative classes Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2019, Volume: 16, Pages: 1752-1761 Pages count : 10 DOI: 10.33048/semi.2019.16.123 | ||||||||||
| Tags | lattice, generative class, generic structure, linear order, Boolean algebra. | ||||||||||
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Abstract:
We define and study lattices in generative classes associated with generic structures. It is shown that these lattices can be non-distributive and, moreover, arbitrary enough. Heights and wights of the lattices are described. A model-theoretic criterion for the linear ordering is proved and these linear orders are described. Boolean algebras generated by the considered lattices are also described.
Cite:
Kiouvrekis Y.
, Stefaneas P.
, Sudoplatov S.V.
Lattices in generative classes
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2019. V.16. P.1752-1761. DOI: 10.33048/semi.2019.16.123 WOS Scopus OpenAlex
Lattices in generative classes
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2019. V.16. P.1752-1761. DOI: 10.33048/semi.2019.16.123 WOS Scopus OpenAlex
Dates:
| Submitted: | Feb 11, 2019 |
| Published online: | Nov 29, 2019 |
Identifiers:
| Web of science: | WOS:000501163400003 |
| Scopus: | 2-s2.0-85078958169 |
| OpenAlex: | W3015423643 |