INTRODUCING FULLY UP-SEMIGROUPS
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2018, Vol 38, Issue 2
Abstract
In this paper, we introduce some new classes of algebras related to UPalgebras 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. 2010 Mathematics Subject Classification: 08A99, 03G25.
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