Semidirect Products and Wreath Products of Weakly P-eventually Regular Semigroups
Xiaomin Zhang · 2006
The conhcept of weakly P-eventually regular semigroups is introduced. Let S and T be monoids,α:S→Aut(T) is a semigroup homomorphism,and x is a left system of semigroup S . The necessay and sufficient conditions for semidirect prooducts S×αT of S and T to be weakly P-evenlually are given, and the necessay and sufficient conditions for wreath products SwXT to be weakly P-eventually are obtained.