Skew Pairs of Idempotents in Partial Transformation Semigroups

Panuwat Luangchaisri and Thawhat Changphas
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Panuwat Luangchaisri: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Thawhat Changphas: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Mathematics, 2021, vol. 10, issue 1, 1-8

Abstract: Let S be a regular semigroup. A pair ( e , f ) of idempotents of S is said to be a skew pair of idempotents if f e is idempotent, but e f is not. T. S. Blyth and M. H. Almeida (T. S. Blyth and M. H. Almeida, skew pair of idempotents in transformation semigroups, Acta Math. Sin. (English Series), 22 (2006), 1705–1714) gave a characterization of four types of skew pairs—those that are strong, left regular, right regular, and discrete—existing in a full transformation semigroup T ( X ) . In this paper, we do in this line for partial transformation semigroups.

Keywords: partial transformation semigroups; semigroups; skew pair of idempotents (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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