给出了确定局部结构已知的有限半群的推理法则，提出了一种新的计算机算法。
A new computer algorithm for the finite semigroups with a known partial structure is given.
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。
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.
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。
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.
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