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Globals of Completely Regular Monoids
Authors:Wu Qian-qian  Gan Ai-ping  Du Xian-kun
Affiliation:College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022
Abstract:An element of a semigroup S is called irreducible if it cannot be expressed as a product of two elements in S both distinct from itself. In this paper we show that the class C of all completely regular monoids with irreducible identity elements satisfies the strong isomorphism property and so it is globally determined.
Keywords:completely regular monoid  irreducible element  power semigorup
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