逆半群半格上的自然偏序关系

A Natural Partial Order on a Semilattice of Inverse Semigroups

首先讨论逆半群Sα的半上的自然偏序与各Sα上的自然偏序之间的关系,然后讨论逆半群Sα的半格S的幂等元集Es的闭包限制在Sα上与Eα的闭包的关系.

In this paper,we characterize a natural partial order on a semilattice of inverse semigroups S α by the natural partial order on each inverse semigroup S α ,and get a relation between the closure (E s) ω of subset E s in a semilattice of inverse segigroups restricted to S α and the closure (E α) ω of E α .