Algebras of binary formulas for compositions of theories Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2020, Volume: 59, Number: 4, Pages: 295-312 Pages count : 18 DOI: 10.1007/s10469-020-09602-y | ||||||||||
| Tags | algebra of binary formulas, composition of theories, e-definable composition, ℵ0-categorical theory, strongly minimal theory, stable theory, linear preorder, cyclic preorder | ||||||||||
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Abstract:
We consider algebras of binary formulas for compositions of theories both in the general case and as applied to ℵ0-categorical, strongly minimal, and stable theories, linear preorders, cyclic preorders, and series of finite structures. It is shown that e-definable compositions preserve isomorphisms and elementary equivalence and have basicity formed by basic formulas of the initial theories. We find criteria for e-definable compositions to preserve ℵ0-categoricity, strong minimality, and stability. It is stated that e-definable compositions of theories specify compositions of algebras of binary formulas. A description of forms of these algebras is given relative to compositions with linear orders, cyclic orders, and series of finite structures.
Cite:
Емельянов Д.Ю.
, Кулпешов Б.Ш.
, Sudoplatov S.V.
Algebras of binary formulas for compositions of theories
Algebra and Logic. 2020. V.59. N4. P.295-312. DOI: 10.1007/s10469-020-09602-y WOS Scopus РИНЦ OpenAlex
Algebras of binary formulas for compositions of theories
Algebra and Logic. 2020. V.59. N4. P.295-312. DOI: 10.1007/s10469-020-09602-y WOS Scopus РИНЦ OpenAlex
Original:
Емельянов Д.Ю.
, Кулпешов Б.Ш.
, Судоплатов С.В.
Алгебры бинарных формул для композиций теорий
Алгебра и логика. 2020. Т.59. №4. С.432-457. DOI: 10.33048/alglog.2020.59.402 РИНЦ OpenAlex
Алгебры бинарных формул для композиций теорий
Алгебра и логика. 2020. Т.59. №4. С.432-457. DOI: 10.33048/alglog.2020.59.402 РИНЦ OpenAlex
Dates:
| Submitted: | Apr 9, 2019 |
| Accepted: | Nov 24, 2020 |
| Published print: | Dec 4, 2020 |
| Published online: | Dec 4, 2020 |
Identifiers:
| Web of science: | WOS:000593057900001 |
| Scopus: | 2-s2.0-85096555179 |
| Elibrary: | 45128900 |
| OpenAlex: | W3110354893 |