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<p>We describe the automorphism group of the power graph of a completely 0-simple semigroup. Additionally, we obtain a characterization of when two completely 0-simple semigroups <i>S</i> and <i>T</i> with abelian group <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathcal {H}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">H</mi> </math></EquationSource> </InlineEquation>-classes are isomorphic based on their power graphs, which implies the main result of the present authors [J. Algebraic Combin. 59 (2024) 697-710].</p>

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Power graphs of completely 0-simple semigroups

  • 期刊论文

  • 发表日期：

    2026年4月27日

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  • Yanliang Cheng,
  • Lingli Zeng,
  • Yong Shao

摘要

We describe the automorphism group of the power graph of a completely 0-simple semigroup. Additionally, we obtain a characterization of when two completely 0-simple semigroups S and T with abelian group \(\mathcal {H}\) H -classes are isomorphic based on their power graphs, which implies the main result of the present authors [J. Algebraic Combin. 59 (2024) 697-710].