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

Jittisak Rakbud, Malinee Chaiya and Sergejs Solovjovs

International Journal of Mathematics and Mathematical Sciences, 2020, vol. 2020, 1-7

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:8872391

DOI: 10.1155/2020/8872391

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