弱拟充足半群

摘要

The concept of weakly quasi-adequate semigroups was introducted. It is a kind of semi-goup intervening between abundant semigroup and adequate semigroup. The properties and structure of such a semigroup without zero with a multiplicative adequate transversal were investigated. It is concluded that the condition of equivalence is that the abundant semigroup with a multiplicative adequate transversal is the weakly quasi-adequate semigroups.%引进弱拟充足半群的概念,这是介于富足半群类与充足半群类之间的一类半群.讨论无零元且有乘充足断面的弱拟充足半群的性质,得到有乘充足断面的富足半群是弱拟充足半群的等价条件.