The Regular Part of a Semigroup of Full Transformations with Restricted Range: Maximal Inverse Subsemigroups and Maximal Regular Subsemigroups of Its Ideals

Worachead Sommanee

International Journal of Mathematics and Mathematical Sciences, 2018, vol. 2018, 1-9

Abstract:

Let be the full transformation semigroup on a set . For a fixed nonempty subset of a set , let be the semigroup consisting of all full transformations from into . In a paper published in 2008, Sanwong and Sommanee proved that the set is the largest regular subsemigroup of . In this paper, we describe the maximal inverse subsemigroups of and completely determine all the maximal regular subsemigroups of its ideals.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:2154745

DOI: 10.1155/2018/2154745

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