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MAGNIFYING ELEMENTS IN A SEMIGROUP OF TRANSFORMATIONS PRESERVING EQUIVALENCE RELATION
Kaewnoi, Thananya,Petapirak, Montakarn,Chinram, Ronnason The Kangwon-Kyungki Mathematical Society 2019 한국수학논문집 Vol.27 No.2
Let X be a nonempty set, ${\rho}$ be an equivalence on X, T(X) be the semigroup of all transformations from X into itself, and $T_{\rho}(X)=\{f{\in}T(X)|(x,y){\in}{\rho}{\text{ implies }}((x)f,\;(y)f){\in}{\rho}\}$. In this paper, we investigate some necessary and sufficient conditions for elements in $T_{\rho}(X)$ to be left or right magnifying.