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r-notion of conjugacy in partial transformation semigroup
Aftab Hussain Shah,Mohd Rafiq Parray 강원경기수학회 2022 한국수학논문집 Vol.30 No.1
In this paper, we present a new definition of conjugacy that can be applied to an arbitrary semigroup and it does not reduce to the universal relation in semigroups with a zero. We compare the new notion of conjugacy with existing notions, characterize the conjugacy in subsemigroups of partial transformations through digraphs and restrictive partial homomorphisms.