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Identities and \(n\)-Ary Kulakov Algebras

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Abstract

In the present article, we develop algebraic methods in the theory of physical structures. This theory is targeted at classification of fundamental physical laws. Axiomatic approach naturally leads to introduction of new algebraic systems which are called \(n \)-ary Kulakov algebras. The article is devoted to introduction and study of such systems.

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Notes

  1. Also termed a phenomenologically symmetric geometry of two sets or, briefly, a geometry of two sets.

  2. It was initially termed generalized invariance.

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Funding

The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics, SB RAS (no. I.1.5, project FWNF-2022-0009).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia

    M. V. Neshchadim

  2. Novosibirsk State University, Novosibirsk, 630090, Russia

    A. A. Simonov

Authors
  1. M. V. Neshchadim
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  2. A. A. Simonov
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Correspondence to M. V. Neshchadim or A. A. Simonov.

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Neshchadim, M.V., Simonov, A.A. Identities and \(n\)-Ary Kulakov Algebras. Sib. Adv. Math. 33, 140–150 (2023). https://doi.org/10.1134/S1055134423020037

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  • DOI: https://doi.org/10.1134/S1055134423020037

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