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<p>The commuting graph of a finite non-commutative semigroup <i>S</i> is the simple graph whose vertices are the non-central elements of <i>S</i>, and two distinct vertices <i>a</i> and <i>b</i> are adjacent if and only if <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(ab=ba\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>a</mi> <mi>b</mi> <mo>=</mo> <mi>b</mi> <mi>a</mi> </mrow> </math></EquationSource> </InlineEquation>. In this paper we investigate commuting graphs of finite non-commutative Rees matrix semigroups over semigroups.</p>

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Commuting graphs of Rees matrix semigroups

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月18日

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  • Attila Nagy

摘要

The commuting graph of a finite non-commutative semigroup S is the simple graph whose vertices are the non-central elements of S, and two distinct vertices a and b are adjacent if and only if \(ab=ba\) a b = b a . In this paper we investigate commuting graphs of finite non-commutative Rees matrix semigroups over semigroups.