Scholarlink

<p>Kiselman’s semigroup <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(K_n\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>K</mi> <mi>n</mi> </msub> </math></EquationSource> </InlineEquation> was studied by Kudryavtseva and Mazorchuk, who posed the question of whether it is possible to classify all endomorphisms of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(K_n\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>K</mi> <mi>n</mi> </msub> </math></EquationSource> </InlineEquation>. In this paper, we provide a complete classification of endomorphisms of <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(K_n\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>K</mi> <mi>n</mi> </msub> </math></EquationSource> </InlineEquation> and present a Boolean matrix monoid that is isomorphic to <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\text {End}(K_n)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mtext>End</mtext> <mo stretchy="false">(</mo> <msub> <mi>K</mi> <mi>n</mi> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A complete classification of endomorphisms of Kiselman’s semigroup

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年9月17日

查看全文
  • Luka Andrenšek

摘要

Kiselman’s semigroup \(K_n\) K n was studied by Kudryavtseva and Mazorchuk, who posed the question of whether it is possible to classify all endomorphisms of \(K_n\) K n . In this paper, we provide a complete classification of endomorphisms of \(K_n\) K n and present a Boolean matrix monoid that is isomorphic to \(\text {End}(K_n)\) End ( K n ) .