The purpose of the paper is to investigate finite generation and some other basic finiteness conditions for (restricted) wreath products of semigroups (with respect to an idempotent e). The main result is that such a wreath product S(e)wrT, with T finite, is finitely generated if and only if S-2 = S, T-2 = T, S is finitely generated and either S x S is a finitely gene-rated S-act, or else every element of T belongs to the principal right ideal of a right identity. Further results are obtained for the case where T is infinite, and also for finite presentability, periodicity and local finiteness. [References: 18]
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机译：本文的目的是研究半群的（受限的）花圈乘积的有限生成和其他一些基本的有限条件（关于幂等e）。主要结果是，当且仅当S-2 = S，T-2 = T，S是有限生成且S x S是有限时，才有限生成这样的花圈积S（e）wrT，其中T有限。基因评级的S-act，否则T的每个元素都属于权利同一性的主要权利理想。对于T为无穷大的情况，以及有限的可表示性，周期性和局部有限性，都可以获得进一步的结果。 [参考：18]
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