具有左可消幺断面的拟弱适当半群

Quasi-weakly adequate semigroups with a left cancellative monoid transeversal

摘要: 研究了具有左可消幺断面的拟弱适当半群的结构. 证明了半群S是包含左可消幺断面的拟弱适当半群，当且仅当S是一个矩形左可消幺半群.

Abstract: The structure of quasi-weakly adequate semigroups with a left cancellative monoid transeversal is studied. We prove that a semigroup S is a quasi-weakly adequate semigroup with a left cancellative monoid if and only if S is a rectangular left cancellativemonoid.