关于拟交换半群

On Quasi-commutative Semigroups

本文首先研究了拟交换阿基米德半群和拟交换子直不可约半群,部分地确定了它们的结构.最后,考虑了拟交换半群上的极小群同余,证明了拟交换半群上的极小群同余就是最小群同余.作为推论,得到了可消拟交换无幂等元的半群上无极小群同余.

At first,this paper studies quasi-commutative Archimedean semigroupsand quasi-commutative,subdirectly irreducible semigroups,describespartially their structure,considers the minimal group congruences on aquasi-commutative semigroup and proves that a minimal group congruenceon a quasi-commutative semigroup is the least group congruence.A corollaryis obtained that a cancellative quasi-commutative semigrop withoutidemptoents has no minimal group congruences.