Xiaoping Shi
Abstract
The existence and equi va lent uniqueness of the localization of a C-rpp semigroup S are proved, with respect to its semilattice of idempotents. It also proved the localization of S is a left cancellative semigroup which there is only one element in the se t of idempotents. So the localization of a Clifford semigroup is group.
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The existence and equi va lent uniqueness of the localization of a C-rpp semigroup S are proved, with respect to its semilattice of idempotents. It also proved the localization of S is a left cancellative semigroup which there is only one element in the se t of idempotents. So the localization of a Clifford semigroup is group.
Key concepts: Semigroup, Semilattice, Mathematics, Uniqueness, Cancellative semigroup, Pure mathematics, Bicyclic semigroup, Element (criminal law)