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Abstract <p> We introduce Kulakov algebraic systems and construct examples on the basis of knownphysical laws. We introduce a ternary Kulakov algebraic system of rank <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12002_2025_5127_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="61" /> </InlineMediaObject> <EquationSource Format="TEX">\((m,n,\ell )\)</EquationSource> </InlineEquation> that satisfies the axioms of a physical structure.We construct a new solution of rank <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12002_2025_5127_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\((2,2,2)\)</EquationSource> </InlineEquation> that isdifferent from the previously known one. With the use of known binary physical structures, weconstruct new ternary physical structures.</p>

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Ternary Kulakov Algebras With an Elementary Identity

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • M. V. Neshchadim,
  • A. A. Simonov

摘要

Abstract

We introduce Kulakov algebraic systems and construct examples on the basis of knownphysical laws. We introduce a ternary Kulakov algebraic system of rank \((m,n,\ell )\) that satisfies the axioms of a physical structure.We construct a new solution of rank \((2,2,2)\) that isdifferent from the previously known one. With the use of known binary physical structures, weconstruct new ternary physical structures.