E-extension of a clifford semigroup
Zhu Wen · 2008
Semigroup extension is the method to get new semigroup based on simple semigroups or basic semigroups.In this paper,we discussed the extension of a Clifford semigroup by using the Munn semigroup TE is discussed.The concept of those extensions was introduced and an example of such extension was given.We obtained a compulsory condition for a Clifford semigroup that has E -extension.We proved that image of a Green relation equivalent class of a full inverse semigroup under Munn representation is the same equivalent class.