论文标题
Un Lemme Combinatoire de H. B. Neumann
Un lemme combinatoire de H. B. Neumann
论文作者
论文摘要
我们给出了H. B. Neumann的结果的简单简单,更短的证明,这是这样指出的。对于任何有序的序列序列的子集,A的a,a本身的任何有限数量元素的产品集合本身都是有序的。此外,对于每个t,只有有限数量的此类产品等于t。
We give a notably simpler and shorter proof of H. B. Neumann's result which is stated, cursorly, like this. For any well-ordered subset, A, of a totally ordered semigroup, the set of products of any finite number of elements of A is itself well-ordered. Moreover, for each t, there are only a finite number of such products equal to t.