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Regularity of Semigroups of Transformations Whose Characters Form the Semigroup of a Δ-Structure

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  • Jittisak Rakbud
  • Malinee Chaiya
  • Sergejs Solovjovs

Abstract

In this paper, we make use of the notion of the character of a transformation on a fixed set X, provided by Purisang and Rakbud in 2016, and the notion of a Δ-structure on X, provided by Magill Jr. and Subbiah in 1974, to define a sub-semigroup of the full-transformation semigroup TX. We also define a sub-semigroup of that semigroup. The regularity of those two semigroups is also studied.

Suggested Citation

  • Jittisak Rakbud & Malinee Chaiya & Sergejs Solovjovs, 2020. "Regularity of Semigroups of Transformations Whose Characters Form the Semigroup of a Δ-Structure," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2020, pages 1-7, December.
    • Handle: RePEc:hin:jijmms:8872391
    DOI: 10.1155/2020/8872391
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