Geodesic
A construction of semigroups containing middle units
Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 2, pp. 427-437

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In this paper, we show that semigroups containing middle units can be constructed from semigroups containing one-sided identity elements. Moreover, we show that regular semigroups containing middle units can be obtained from regular monoids.
Keywords: semigroup, regular semigroup, middle unit 
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Nagy, Attila. A construction of semigroups containing middle units. Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 2, pp. 427-437. http://geodesic.mathdoc.fr/item/DMGAA_2024_44_2_a11/