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

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  • Worachead Sommanee

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.

Suggested Citation

  • Worachead Sommanee, 2018. "The Regular Part of a Semigroup of Full Transformations with Restricted Range: Maximal Inverse Subsemigroups and Maximal Regular Subsemigroups of Its Ideals," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2018, pages 1-9, May.
    • Handle: RePEc:hin:jijmms:2154745
    DOI: 10.1155/2018/2154745
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    References listed on IDEAS

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    1. Jintana Sanwong & Worachead Sommanee, 2008. "Regularity and Green's Relations on a Semigroup of Transformations with Restricted Range," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-11, November.
    2. Nenthein, S., Youngkhong, P. & Kemprasit, Y., 2005. "Regular elements of some transformation semigroups," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 16(3), pages 307-314.
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