Young In Kwon, Sang Keun Lee
Abstract
We consider the ordered -semigroups in which xx (x 2 M, 2 ) are left elements. We show that this po--semigroup is left regular if and only if M is a union of left simple sub-- semigroups of M.
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We consider the ordered -semigroups in which xx (x 2 M, 2 ) are left elements. We show that this po--semigroup is left regular if and only if M is a union of left simple sub-- semigroups of M.
Key concepts: Mathematics, Semigroup, Regular semigroup, Simple (philosophy), Pure mathematics, Combinatorics, Special classes of semigroups, Discrete mathematics