A new construction for abundant semigroups with multiplicative quasi-adequate transversals
Xiangjun Kong, Pei Wang · Publicationes Mathematicae Debrecen · 2011
In any abundant semigroup with a quasi-adequate transversal, we define two sets R and L and give some properties and characterizations associated with them.Then we give a structure theorem for abundant semigroups with multiplicative quasi-adequate transversals by means of two quasi-adequate semigroups R and L.