Translational hulls of regular semigroups with quasi-ideal inverse transversals
Zhu Guang-hui · Shandong kexue · 2002
A linked pair (λ,ρ)on a semigroup S is a left translation λ associated with a right translation ρ such that x(λy)=(xρ)y for all x,y∈S.The translational hull Ω(S) is the set of all linked pairs respect to the natural functional composition(?).In this paper we investigate Ω(S) where S is a regular semigroup with a quasi-ideal inverse transversal.Some features of Ω(S) are characterized.