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JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2022 Volume 25, Number 2, Pages 203–219 (Mi mt675)

Identities and $n$-ary Kulakov algebras

M. V. Neshchadima, A. A. Simonovb

a Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia
b Novosibirsk State University, Novosibirsk, 630090 Russia

Abstract: In this work, an algebraic approach to the theory of physical structures is being developed — theory oriented to the classification of fundamental physical laws. The axiomatic approach naturally leads to the introduction of new algebraic systems — $n$-ary Kulakkov's algebras, definitions and studies of which the present work is dedicated.

Key words: Kulakov's algebras, physical structures, Laplace's identity.

UDC: 512.57

Received: 12.04.2022
Revised: 10.09.2022
Accepted: 02.11.2022

DOI: 10.33048/mattrudy.2022.25.209


 English version:
Siberian Advances in Mathematics, 2023, 33:2, 140–150


© Steklov Math. Inst. of RAS, 2025