具有逆断面的左半正规纯正半群

摘要

A left seminormal orthodox semigroup is an orthodox semigroup whose idempotents form a left seminormal band. We deal with natures of a left seminormal orthodox semigroup with an inverse transversal. A construction theorem for such semigroup is obtained.%左半正规纯正半群是幂等元集形成左半正规带的纯正半群. 本文讨论了具有逆断面的左半正规纯正半群上的一些性质;给出该类半群的一个构造定理.