On R-unipotent semigroups with ΠL<sup>1</sup>-embeddable band of idempotents
© 2015, Springer Science+Business Media New York. Let ΠL1denote a direct power of L1, 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...
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2018
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th-cmuir.6653943832-559532018-09-05T03:06:30Z On R-unipotent semigroups with ΠL<sup>1</sup>-embeddable band of idempotents Bernd Billhardt Ekkachai Laysirikul Kritsada Sangkhanan Jintana Sanwong Worachead Sommanee Mathematics © 2015, Springer Science+Business Media New York. Let ΠL1denote a direct power of L1, 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 ΠL1-embeddable bands by groups. 2018-09-05T03:06:30Z 2018-09-05T03:06:30Z 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/6653943832/55953 |
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Mathematics |
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Mathematics Bernd Billhardt Ekkachai Laysirikul Kritsada Sangkhanan Jintana Sanwong Worachead Sommanee On R-unipotent semigroups with ΠL<sup>1</sup>-embeddable band of idempotents |
| description |
© 2015, Springer Science+Business Media New York. Let ΠL1denote a direct power of L1, 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 ΠL1-embeddable bands by groups. |
| format |
Journal |
| author |
Bernd Billhardt Ekkachai Laysirikul Kritsada Sangkhanan Jintana Sanwong Worachead Sommanee |
| author_facet |
Bernd Billhardt Ekkachai Laysirikul Kritsada Sangkhanan Jintana Sanwong Worachead Sommanee |
| author_sort |
Bernd Billhardt |
| 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 |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84954369625&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55953 |
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1681424601529188352 |