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May 2018 Magnifying Elements in a Semigroup of Transformations with Restricted Range
Ronnason Chinram, Samruam Baupradist
Missouri J. Math. Sci. 30(1): 54-58 (May 2018). DOI: 10.35834/mjms/1534384954

Abstract

Let $Y$ be a nonempty subset of a set $X$ and let $T(X,Y)$ be the semigroup (under composition) of all functions $X\rightarrow X$ whose range is a subset of $Y$. We give necessary and sufficient conditions for elements in $T(X,Y)$ to be left and right magnifying.

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Ronnason Chinram. Samruam Baupradist. "Magnifying Elements in a Semigroup of Transformations with Restricted Range." Missouri J. Math. Sci. 30 (1) 54 - 58, May 2018. https://doi.org/10.35834/mjms/1534384954

Information

Published: May 2018
First available in Project Euclid: 16 August 2018

zbMATH: 06949049
MathSciNet: MR3844390
Digital Object Identifier: 10.35834/mjms/1534384954

Subjects:
Primary: 20M10
Secondary: 20M20

Rights: Copyright © 2018 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.30 • No. 1 • May 2018
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