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Ternary Kulakov Algebras With an Elementary Identity. / Neshchadim, M. V.; Simonov, A. A.

In: Siberian Advances in Mathematics, Vol. 35, No. 2, 06.08.2025, p. 156-166.

Research output: Contribution to journal › Article › peer-review

Harvard

Neshchadim, MV & Simonov, AA 2025, 'Ternary Kulakov Algebras With an Elementary Identity', Siberian Advances in Mathematics, vol. 35, no. 2, pp. 156-166. https://doi.org/10.1134/S1055134425020075

APA

Neshchadim, M. V., & Simonov, A. A. (2025). Ternary Kulakov Algebras With an Elementary Identity. Siberian Advances in Mathematics, 35(2), 156-166. https://doi.org/10.1134/S1055134425020075

Vancouver

Neshchadim MV, Simonov AA. Ternary Kulakov Algebras With an Elementary Identity. Siberian Advances in Mathematics. 2025 Aug 6;35(2):156-166. doi: 10.1134/S1055134425020075

Author

Neshchadim, M. V. ; Simonov, A. A. / Ternary Kulakov Algebras With an Elementary Identity. In: Siberian Advances in Mathematics. 2025 ; Vol. 35, No. 2. pp. 156-166.

BibTeX

@article{1e15deda37574c8a83d9bf2175ced0cd,
title = "Ternary Kulakov Algebras With an Elementary Identity",
abstract = "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.",
keywords = "Kulakov algebra, Kulakov algebraic system, bounded sharply -transitivegroup, group, many-sorted algebra, measure theory, physical structure, theory of physical structures",
author = "Neshchadim, {M. V.} and Simonov, {A. A.}",
note = "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. ",
year = "2025",
month = aug,
day = "6",
doi = "10.1134/S1055134425020075",
language = "English",
volume = "35",
pages = "156--166",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "Pleiades Publishing",
number = "2",

}

RIS

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 -

ID: 68771479