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Ternary Kulakov Algebras With an Elementary Identity Full article

Journal Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126
Output data Year: 2025, Volume: 35, Number: 2, Pages: 156–166 Pages count : 11 DOI: 10.1134/S1055134425020075
Tags Kulakov algebraic system, Kulakov algebra, many-sorted algebra, physical structure, theory of physical structures, group, bounded sharply n-transitive group, measure theory.
Authors Neshchadim M.V. 1 , Simonov A.A. 2
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia
2 Novosibirsk State University, Novosibirsk, 630090 Russia

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0009

Abstract: We introduce Kulakov algebraic systems and construct examples on the basis of known physical laws. We introduce a ternary Kulakov algebraic system of rank (m, n, ) that satisfies the axioms of a physical structure. We construct a new solution of rank (2, 2, 2) that is different from the previously known one. With the use of known binary physical structures, we construct new ternary physical structures.
Cite: Neshchadim M.V. , Simonov A.A.
Ternary Kulakov Algebras With an Elementary Identity
Siberian Advances in Mathematics. 2025. V.35. N2. P.156–166. DOI: 10.1134/S1055134425020075 Scopus РИНЦ
Original: Нещадим М.В. , Симонов А.А.
Тернарные алгебры Кулакова с элементарным тождеством
Математические труды. 2025. Т.28. №1. С.113–133. DOI: 10.25205/1560-750X-2025-28-1-113-133 РИНЦ
Dates:
Submitted: Oct 28, 2024
Accepted: Dec 19, 2024
Published print: Aug 6, 2025
Published online: Aug 6, 2025
Identifiers:
Scopus: 2-s2.0-105012757122
Elibrary: 82714812
Citing: Пока нет цитирований
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