Clifford semigroup

A Clifford semigroup (sometimes also called 'inverse Clifford semigroup') is a completely regular inverse semigroup.It is an inverse semigroup with x x − 1 = x − 1 x {displaystyle xx^{-1}=x^{-1}x} . Examples of Clifford semigroups are groups and commutative inverse semigroups. A Clifford semigroup (sometimes also called 'inverse Clifford semigroup') is a completely regular inverse semigroup.It is an inverse semigroup with x x − 1 = x − 1 x {displaystyle xx^{-1}=x^{-1}x} . Examples of Clifford semigroups are groups and commutative inverse semigroups. In a Clifford semigroup, x y = y x ↔ x − 1 y = y x − 1 {displaystyle xy=yxleftrightarrow x^{-1}y=yx^{-1}} .