TY - JOUR

T1 - Ternary Kulakov Algebras With an Elementary Identity

AU - Neshchadim, M. V.

AU - Simonov, A. A.

N1 - The work was supported by the program of fundamental scientific research of SB RAS (project no. I.1.5 FWNF-2022-0009). Neshchadim, M. V. Ternary Kulakov Algebras With an Elementary Identity / M. V. Neshchadim, A. A. Simonov // Siberian Advances in Mathematics. – 2025. – Vol. 35, No. 2. – P. 156-166. – DOI 10.1134/S1055134425020075.

PY - 2025/8/6

Y1 - 2025/8/6

N2 - Abstract: We introduce Kulakov algebraic systems and construct examples on the basis of knownphysical laws. We introduce a ternary Kulakov algebraic system of rank that satisfies the axioms of a physical structure.We construct a new solution of rank that isdifferent from the previously known one. With the use of known binary physical structures, weconstruct new ternary physical structures.

AB - Abstract: We introduce Kulakov algebraic systems and construct examples on the basis of knownphysical laws. We introduce a ternary Kulakov algebraic system of rank that satisfies the axioms of a physical structure.We construct a new solution of rank that isdifferent from the previously known one. With the use of known binary physical structures, weconstruct new ternary physical structures.

KW - Kulakov algebra

KW - Kulakov algebraic system

KW - bounded sharply -transitivegroup

KW - group

KW - many-sorted algebra

KW - measure theory

KW - physical structure

KW - theory of physical structures

UR - https://www.mendeley.com/catalogue/d11655fd-f2a7-39b1-bd61-c69d29b805c0/

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105012757122&origin=inward

UR - https://www.elibrary.ru/item.asp?id=82714812

U2 - 10.1134/S1055134425020075

DO - 10.1134/S1055134425020075

M3 - Article

VL - 35

SP - 156

EP - 166

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 2

ER -