Affiliation:
1. Department of Mathematics, Central University of South Bihar, Gaya, Bihar, India
Abstract
Let [Formula: see text] be an arbitrary infinite set, and let [Formula: see text] be a partition of [Formula: see text] indexed by [Formula: see text]. Denote by [Formula: see text] the full transformation semigroup on [Formula: see text], and let [Formula: see text]. The character map of an element [Formula: see text] of [Formula: see text] is the self-map [Formula: see text] defined as [Formula: see text] whenever [Formula: see text]. In this paper, we describe magnifiers in [Formula: see text] in terms of their character and restriction maps. We further describe magnifiers in the subsemigroups [Formula: see text], [Formula: see text], and [Formula: see text] of [Formula: see text] that consist of all transformations whose character maps are injective, surjective, and bijective, respectively.
Publisher
World Scientific Pub Co Pte Ltd
Cited by
1 articles.
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