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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2018
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Abstract
Let TX be the full transformation semigroup on a set X. For a fixed nonempty subset Y of a set X, let TX,Y be the semigroup consisting of all full transformations from X into Y. In a paper published in 2008, Sanwong and Sommanee proved that the set FX,Y=α∈TX,Y:Xα=Yα is the largest regular subsemigroup of TX,Y. In this paper, we describe the maximal inverse subsemigroups of FX,Y and completely determine all the maximal regular subsemigroups of its ideals.
| Reference Key |
sommanee2018internationalthe
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|---|---|
| Authors | ;Worachead Sommanee |
| Journal | structural engineering and mechanics |
| Year | 2018 |
| DOI |
10.1155/2018/2154745
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