A Clifford semigroup (sometimes also called "inverse Clifford semigroup") is a completely regular inverse semigroup. It is an inverse semigroup with[1] . Examples of Clifford semigroups are groups and commutative inverse semigroups.
In a Clifford semigroup,[2] .
References
edit- ^ Presentations of Semigroups and Inverse Semigroups Archived 2006-10-11 at the Wayback Machine section 4.3 Some Results on Clifford Semigroups (accessed on 14 December 2014)
- ^ Algebraic characterizations of inverse semigroups and strongly regular rings theorem 2 (accessed on 14 December 2014)
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