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Magnifying elements of semigroups of transformations with invariant set

Research paper by Ronnason Chinram, Samruam Baupradist

Indexed on: 01 Jun '18Published on: 19 Apr '18Published in: Asian-European Journal of Mathematics



Abstract

Asian-European Journal of Mathematics, Ahead of Print. Let [math] be a semigroup of all transformations on a set [math] Let [math] be a fixed nonempty subset of [math] and [math] Then [math] is a subsemigroup of [math] which leaves a subset [math] of [math] invariant. If [math] then [math] In this paper, we give necessary and sufficient conditions for elements in [math] to be left or right magnifying.