locally finite semigroup 局部有限半群
strongly locally finite semigroup 强局部有限半群
finite wide semigroup 有限宽半群
finite cyclic semigroup 有限循环半群
finite sandwich semigroup 有限夹心半群
finite monogenic semigroup 有限单演半群
finite nilpotent semigroup 有限幂零半群
finite commutative semigroup 有限可换半群
finite commutative uni semigroup 有限可换幺半群
In this paper, it is proved that any finite semigroup can contain cycle subgroup, Witn this result, some theorems in ring theory are induced easily.
本文证明了，任意有限半群均含循环子群。利用此结果，就能容易地导出环论中的一些定理。
A finite semigroup is an IC abundant semigroup satisfying the left rgularity condition if and only if it is an orthodox superabundant semigroup whose idempotents form a left regular band.
一个有限半群是满足左正则性条件的IC富足半群当且仅当它是一个幂等元形成左正则带的纯整超富足半群，但满足左正则性条件的无限IC富足半群不都是幂等元形成左正则带的纯整超富足半群。
This paper has made some discussions on the finite commutative semigroup. The relationship between the finite commutative semigroup and the finite commutative group is established.
对有限可换半群进行了讨论，建立了有限可换半群与有限可换群之间的关系。
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