F-逆幺半群上的F-同余
$F$-congruences on $F$-inverse monoids
首次发表
浏览论文内容
中文总结 AI 辅助
该研究刻画了F-逆幺半群上F-同余对应的核正规系与同余对，还完成了F-无同余的F-逆幺半群的分类，丰富了半群代数理论中F-逆幺半群的同余结构研究。
中文摘要 AI 辅助
我们研究F-逆幺半群上的一类同余，这类同余尊重一元运算$a\mapsto\mx{a}$（该运算为每个元素分配其$\sigma$-类中的最大元素，我们称之为F-同余）。我们刻画了F-逆幺半群上产生这类同余的核正规系和同余对，还建立了若干相关结果，包括F-无同余的F-逆幺半群的分类。
英文摘要
We study the class of congruences on $F$-inverse monoids that respect the unary operation $a\mapsto\mx{a}$, assigning to each element the maximum element of its $σ$-class, which we refer to as $F$-congruences. We characterize kernel normal systems and congruence pairs on $F$-inverse monoids which give rise to such congruences and establish a number of further related results including a classification of $F$-congruence-free $F$-inverse monoids.
