Commun. Math. Res., 31 (2015), pp. 222-228.
Published online: 2021-05
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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.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.03.04}, url = {http://global-sci.org/intro/article_detail/cmr/18924.html} }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.