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Abstract <p>We study T-spaces contained in free associative Grassmann algebra <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11982_2025_10476_Article_IEq1.gif" Format="GIF" Height="24" Rendition="HTML" Resolution="72" Type="Linedraw" Width="30" /> </InlineMediaObject> <EquationSource Format="TEX">\(F_{2}^{{(3)}}\)</EquationSource> <!--RusMath2570020Glizburg-m1--> </InlineEquation> of rank 2 over an infinite field of finite characteristic. Systems of generators of  these T-spaces are found. It is proved that the T-spaces contained in the commutant form a chain.</p>

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On the Structure of T-Spaces of Free Associative Grassmann Algebra of Rank 2

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • V. I. Glizburg,
  • S. V. Pchelintsev

摘要

Abstract

We study T-spaces contained in free associative Grassmann algebra \(F_{2}^{{(3)}}\) of rank 2 over an infinite field of finite characteristic. Systems of generators of  these T-spaces are found. It is proved that the T-spaces contained in the commutant form a chain.