Abstract
We define the notion of a w-class of semigroups and prove that every endomorphism semigroup of a free product of semigroups from a maximal w-class is isomorphic to a wreath product of a transformation semigroup with some small category.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 17, No. 3, pp. 51–60, 2011/12.
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Zhuchok, Y.V. Endomorphism semigroups of some free products. J Math Sci 187, 146–152 (2012). https://doi.org/10.1007/s10958-012-1057-z
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DOI: https://doi.org/10.1007/s10958-012-1057-z