In this paper, it is proved that any finitesemigroup 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。
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A finitesemigroup 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.
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.