On R-unipotent semigroups with ΠL<sup>1</sup>-embeddable band of idempotents
© 2015, Springer Science+Business Media New York. Let ΠL 1 denote a direct power of L 1 , the two-element left zero semigroup with identity adjoined. We prove that the semigroups in the title are embeddable into transformation semigroups which naturally generalize the Vagner one-point completion of...
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th-cmuir.6653943832-421272017-09-28T04:25:19Z On R-unipotent semigroups with ΠL<sup>1</sup>-embeddable band of idempotents Billhardt B. Laysirikul E. Sangkhanan K. Sanwong J. Sommanee W. © 2015, Springer Science+Business Media New York. Let ΠL 1 denote a direct power of L 1 , the two-element left zero semigroup with identity adjoined. We prove that the semigroups in the title are embeddable into transformation semigroups which naturally generalize the Vagner one-point completion of the symmetric inverse semigroup. We give some examples and show that our representation provides a convenient way to construct E-unitary covers and embeddings of E-unitary such semigroups into semidirect products of ΠL 1 -embeddable bands by groups. 2017-09-28T04:25:19Z 2017-09-28T04:25:19Z 2016-02-01 Journal 00371912 2-s2.0-84954369625 10.1007/s00233-015-9732-2 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84954369625&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42127 |
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© 2015, Springer Science+Business Media New York. Let ΠL 1 denote a direct power of L 1 , the two-element left zero semigroup with identity adjoined. We prove that the semigroups in the title are embeddable into transformation semigroups which naturally generalize the Vagner one-point completion of the symmetric inverse semigroup. We give some examples and show that our representation provides a convenient way to construct E-unitary covers and embeddings of E-unitary such semigroups into semidirect products of ΠL 1 -embeddable bands by groups. |
| format |
Journal |
| author |
Billhardt B. Laysirikul E. Sangkhanan K. Sanwong J. Sommanee W. |
| spellingShingle |
Billhardt B. Laysirikul E. Sangkhanan K. Sanwong J. Sommanee W. On R-unipotent semigroups with ΠL<sup>1</sup>-embeddable band of idempotents |
| author_facet |
Billhardt B. Laysirikul E. Sangkhanan K. Sanwong J. Sommanee W. |
| author_sort |
Billhardt B. |
| title |
On R-unipotent semigroups with ΠL<sup>1</sup>-embeddable band of idempotents |
| title_short |
On R-unipotent semigroups with ΠL<sup>1</sup>-embeddable band of idempotents |
| title_full |
On R-unipotent semigroups with ΠL<sup>1</sup>-embeddable band of idempotents |
| title_fullStr |
On R-unipotent semigroups with ΠL<sup>1</sup>-embeddable band of idempotents |
| title_full_unstemmed |
On R-unipotent semigroups with ΠL<sup>1</sup>-embeddable band of idempotents |
| title_sort |
on r-unipotent semigroups with πl<sup>1</sup>-embeddable band of idempotents |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84954369625&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42127 |
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1681422130449743872 |