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JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2025 Volume 28, Number 1, Pages 113–133 (Mi mt728)

Ternary Kulakov algebras with elementary identity

M. V. Neshchadima, A. A. Simonovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

Abstract: Kulakov algebraic systems are defined and examples are constructed on the basis of known physical laws. A ternary Kulakov algebraic system of rank $(m,n,\ell)$ satisfying the axioms of physical structure is defined. A new solution of rank $(2,2,2)$ different from the known one is constructed. With the help of known binary physical structures, new ternary physical structures are constructed.

Key words: Kulakov algebraic system, Kulakov algebra, multisorted algebra, physical structure, physical structure theory, group, boundedly exact transitive group, measure theory.

UDC: 512.573 + 512.543.72

Received: 08.09.2024
Revised: 27.01.2025
Accepted: 29.01.2025

DOI: 10.25205/1560-750X-2025-28-1-113-133



© Steklov Math. Inst. of RAS, 2025