U-半富足半群上的自然偏序

The natural partial on U-semiabundant simigroups

U-半富足半群是富足半群的一个自然推广.证明了若U半富足半群S满足PC条件,且其投射元集U成子半群,S上的自然偏序≤是右相容的,如果eSe满足正则条件且为L^V-幂单的及R^V-幂单的,并且证明了若S关于≤相容,则eSe满足正则条件且为L^V-优化的及R^V-优化的.

A U-semiabundant semigroup is a generalization of an abundant.It is proved that if S is a U-semiabundant semigroup satisfying PC conditions in which the set of projections forms a subsemigroup,then the nature partial order on S is compatible.If eSe satisfy the regularity condition and LV-unipotent,RV-unipotent,and if S is compatible,then eSe satisfy the regularity condition and LV-majorization and RV-majorization.