Let S be a finite semigroup and A be a generating set of S; let's associate with A the natural number A(A) = min{m : A~m = S}. In [2] the status Stat (S) of a finite semigroup S was defined as the minimum of the products |A|A(A) : {A) = S. In the present paper some bounds are given for Stat (S) when S is a general (resp. commutative) finite semigroup, independently from the structure of the semigroup.
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机译：设S为有限半群，A为S的生成集;让我们将自然数A（A）= min {m：A〜m = S}与A关联。在[2]中，将有限半群S的状态Stat（S）定义为乘积的最小值| A | A（A）：{A）=S。在本文中，给出了Stat（S）的一些界限当S是一个通用的（可交换的）有限半群时，与半群的结构无关。
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