Geodesic
Introducing Fully Up-Semigroups
Discussiones Mathematicae. General Algebra and Applications, Tome 38 (2018) no. 2, pp. 297-306

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In this paper, we introduce some new classes of algebras related to UP-algebras and semigroups, called a left UP-semigroup, a right UP-semigroup, a fully UP-semigroup, a left-left UP-semigroup, a right-left UP-semigroup, a left-right UP-semigroup, a right-right UP-semigroup, a fully-left UP-semigroup, a fully-right UP-semigroup, a left-fully UP-semigroup, a right-fully UP-semigroup, a fully-fully UP-semigroup, and find their examples.
Keywords: semigroup, UP-algebra, fully UP-semigroup 
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Iampan, Aiyared. Introducing Fully Up-Semigroups. Discussiones Mathematicae. General Algebra and Applications, Tome 38 (2018) no. 2, pp. 297-306. http://geodesic.mathdoc.fr/item/DMGAA_2018_38_2_a9/