Abstract
An element a of a semigroup S is called left [right] magnifying if there exists a proper subset M of S such that S = aM [S = Ma]. Let P(X) be a semigroup of all partial transformations on a set X under the composition of maps. A number of results concerning the necessary and sufficient conditions for elements in some interesting generalized semigroups of partial transformations to be left or right magnifiers are presented.
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