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.

• 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;