Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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R-NOTION OF CONJUGACY IN PARTIAL TRANSFORMATION SEMIGROUP

  • Received : 2021.10.24
  • Accepted : 2022.02.22
  • Published : 2022.03.30
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Abstract

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.

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References

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