同余自由的具有Q-逆断面的正则半群

Congruence-Free Regular Semigroups with Q-Inverse Transversals

本文讨论具有逆断面的正则半群的同余格对于它本身结构的影响． 我们给出了这类半群有最简单的同余格，即只有平凡同余的充分必要条件．

For a regular semigroup with an inverse transversal, we discuss here how the structure of congruence lattice affect the semigroup. We characterize the congruence-free regular semigroups with Q -inverse transversals.