具有稳定子集的奇异压缩变换半群

摘要

Semigroup theory is extensively applied in Maths, computer language, coding theory, and etc. The Clay theorem shows that any semigroup is isomorphism of a transformation semigroup. In this paper, the Singu- lar compressing semigroups on a stable subset is defined. The relation, the generating subset, else algebra prop- erties and else some combination properties above the semigroups are also studied.%半群理论广泛地应用于数学、计算机语言、编码理论等领域。Clay定理表明任何半群都同构于某个变换半群，具有各种性质的奇异变换半群的子半群是半群理论研究的热点问题之一。Sn（4）是定义在瓦上的具有稳定子集的奇异压缩变换半群，研究该半群的Green-关系、生成集、半群的基数等代数和组合性质。