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A Note on Orthodox Semidirect Products and Wreath Products of Monoids

机译:关于Mono半统的正统半直接积和花环积的注记

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摘要

In the present note, we show that the restriction which Saito imposed on S in [3] is not necessary: S may be a semigroup without unity. Secondly, we investigate the wreath products of semigroups and obtain our main results, Theorem 2.3 and Corollary 2.4. We find also that groups in [3] may be replaced by right groups in [1]. Undefined terminology and notation may be found in [3] and [1] unless otherwise stated.
机译:在本说明中,我们证明了Saito在[3]中对S施加的限制是不必要的:S可能是没有统一性的半群。其次,我们研究半群的花环积,并获得主要结果定理2.3和推论2.4。我们还发现,[3]中的组可以被[1]中的正确组代替。除非另有说明,否则未定义的术语和符号可以在[3]和[1]中找到。

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