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...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
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 |
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| 024 | 7 | |a 10.14232/actasm-018-311-5 |2 doi | |
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| 041 | |a zxx | ||
| 100 | 1 | |a Dékány Tamás | |
| 245 | 1 | 0 | |a E-solid locally inverse semigroups |h [elektronikus dokumentum] / |c Dékány Tamás |
| 260 | |c 2019 | ||
| 300 | |a 381-411 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 85 No. 3-4 | |
| 520 | 3 | |a 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 | |
| 695 | |a Algebra - rendezett félcsoport | ||
| 700 | 0 | 1 | |a Szendrei Mária B. |e aut |
| 700 | 0 | 1 | |a Szittyai István |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/66322/1/math_085_numb_003-004_381_411.pdf |z Dokumentum-elérés |