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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 1–20
DOI: https://doi.org/10.33048/semi.2020.17.001 (Mi semr1195) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical logic, algebra and number theory

Structure of algebras of binary formulas for polygonometrical theories with the symmetry condition

D. Yu. Emelyanova, S. V. Sudoplatovbac

a Novosibirsk State Technical University, 20, K. Marx ave., Novosibirsk, 630073, Russia
b Sobolev Institute of Mathematics, 4, Academician Koptyug ave., Novosibirsk, 630090, Russia
c Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.001
Abstract: We describe the structure of algebras of binary formulas for polygonometrical theories with the symmetry condition. The concepts of pseudo-Euclidean and interval algebras for binary formulas are introduced. Questions of existence of such algebras in classes of polygonometrical theories are investigated.
Keywords: algebra of binary formulas, polygonometrical theory with symmetry condition, pseudo-Euclidean algebra, interval algebra.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00531_а
Ministry of Education and Science of the Republic of Kazakhstan AP05132546
Received December 20, 2019, published January 15, 2020
Bibliographic databases:
Document Type: Article
UDC: 510.67:514.116
MSC: 03C07, 03C60, 03G15, 20N02
Language: Russian
Citation: D. Yu. Emelyanov, S. V. Sudoplatov, “Structure of algebras of binary formulas for polygonometrical theories with the symmetry condition”, Sib. Èlektron. Mat. Izv., 17 (2020), 1–20
Citation in format AMSBIB
\Bibitem{EmeSud20}
\by D.~Yu.~Emelyanov, S.~V.~Sudoplatov
\paper Structure of algebras of binary formulas for polygonometrical theories with the symmetry condition
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1--20
\mathnet{http://mi.mathnet.ru/semr1195}
\crossref{https://doi.org/10.33048/semi.2020.17.001}
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