On Magnifying Elements in Transformation Semigroups with a Fixed Point Set

Montakarn Petapirak, Thananya Kaewnoi, Ronnason Chinram

Abstract


An element a of a semigroup S is called a left (right) magnifying element if there is a proper subset M of S such that aM = S (Ma = S). For a fixed point set, a nonempty subset of a set X, we determine the conditions for functions in the transformation semigroups on X fixing all elements in the given fixed point set to be a left or right magnifying element as well as the existence of such elements.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|