研究了amenable上半格序广义逆半群.证明了若(S,·,V)为amenable上半格序广义逆半群,则(s,·)为逆半群.进一步得到amenable上半格序广义逆半群在其偏序≤下为分配格同时,给出了一些有趣的结果.
Amenably V-semilattice-ordered generalized inverse semigroups were studied. Firstly,it is proved that if (S, ·, V ) is an amenably V -semilattice-ordered generalized inverse semigroup, semigroup. Moreover it is got that an amenably V-semilattice-ordered generalized then (S, · ) is an inverse inverse semigroup under its partial order is a distributive lattice. At the same time some interesting conclusions are given.