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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| Main Authors: | , , , , |
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| Format: | Journal |
| Published: |
2018
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| Subjects: | |
| Online Access: | 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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| Institution: | Chiang Mai University |
| Summary: | © 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. |
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