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<p>We prove that a variety <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathcal {V}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">V</mi> </math></EquationSource> </InlineEquation> is a Taylor variety if and only if the compatible reflexive antisymmetric digraphs in <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathcal {V}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">V</mi> </math></EquationSource> </InlineEquation> are cycle-free.</p>

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Reflexive digraphs in Taylor varieties

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年6月15日

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  • Gergő Gyenizse,
  • Miklós Maróti,
  • László Zádori

摘要

We prove that a variety \(\mathcal {V}\) V is a Taylor variety if and only if the compatible reflexive antisymmetric digraphs in \(\mathcal {V}\) V are cycle-free.