U-半富足半群上的自然偏序

摘要

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/V-unipotent,/RV-unipotent, and if S is compatible, then eSe satisfy the regularity condition and/V-majorization and RV-majorization.