On the ranks of semigroups of transformations on a finite set with restricted range

Let PT (X) be the semigroup of all partial transformations on X, T (X) and I(X) be the subsemigroups of PT (X) of all full transformations on X and of all injective partial transformations on X, respectively. Given a non-empty subset Y of X, let PT (X; Y ) = {α ∈ PT (X) : Xα ⊆ Y}, T (X; Y ) = PT (X;...

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Bibliographic Details
Main Authors: Vítor H. Fernandes, Jintana Sanwong
Format: Journal
Published: 2018
Subjects:
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84903307086&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/53697
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Institution: Chiang Mai University