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This article is cited in 3 scientific papers (total in 3 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
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.
Received December 20, 2019, published January 15, 2020
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
Linking options:
https://www.mathnet.ru/eng/semr1195 https://www.mathnet.ru/eng/semr/v17/p1
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