Li Yan
Abstract
In this paper,the existence and uniquenss of localization of a type-A semigroup on its idempotent semilattice are proved.The localization is the maximum cancellative monoid homomorphic image of the type-A semigroup.The minimum cancellative monoid congruence on the semigroup is also characterized.
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In this paper,the existence and uniquenss of localization of a type-A semigroup on its idempotent semilattice are proved.The localization is the maximum cancellative monoid homomorphic image of the type-A semigroup.The minimum cancellative monoid congruence on the semigroup is also characterized.
Key concepts: Monoid, Semigroup, Semilattice, Mathematics, Cancellative semigroup, Idempotence, Bicyclic semigroup, Type (biology)