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, Theroem 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] unlesss otherwise stated.
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Zhang, R. A note on orthodox semidirect products and wreath products of monoids. SemiGroup Forum 58, 262–266 (1999). https://doi.org/10.1007/s002339900019
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DOI: https://doi.org/10.1007/s002339900019