E-solid locally inverse semigroups
We prove that if S is an E-solid locally inverse semigroup, and ρ is an inverse semigroup congruence on S such that the idempotent classes of p are completely simple semigroups thenSis embeddable into a λ-semidirectproduct of a completely simple semigroup byS/ρ. Consequently, theE-solid locally inv...
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| Dokumentumtípus: | Cikk |
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2019
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| Sorozat: | Acta scientiarum mathematicarum
85 No. 3-4 |
| Kulcsszavak: | Algebra - rendezett félcsoport |
| doi: | 10.14232/actasm-018-311-5 |
| Online Access: | http://acta.bibl.u-szeged.hu/66322 |
| Tartalmi kivonat: | We prove that if S is an E-solid locally inverse semigroup, and ρ is an inverse semigroup congruence on S such that the idempotent classes of p are completely simple semigroups thenSis embeddable into a λ-semidirectproduct of a completely simple semigroup byS/ρ. Consequently, theE-solid locally inverse semigroups turn out to be, up to isomorphism, the regularsubsemigroups of λ-semidirect products of completely simple semigroups by inverse semigroups |
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| Terjedelem/Fizikai jellemzők: | 381-411 |
| ISSN: | 2064-8316 |