加强平坦性对幺半群的刻画

Characterization of monoids by stronger flatness

通过条件(WR),引入加强平坦性的概念,讨论加强平坦性的性质,证明任意弱平坦右S-系的循环子系加强平坦当且仅当S=N1,其中N是空集或N是右零半群.

A concept of stronger flatness was introduced by using condition （WR）, then the property of stronger flatness was discussed and it was proved that all the cyclic subacts of arbitrary weakly flat right Sacts were more strongly flat if and only if S=N^1 ,where N was a empty group or a right-zero semigroup.