FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 3, PAGES 51-60

Endomorphism semigroups of some free products

Yu. V. Zhuchok

Abstract

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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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Last modified: May 4, 2012