Idempotent algebras and symmetry
The quasivariety consisting of all the algebras of a given type that can be embedded as a subalgebra into some algebra which has a transitive automorphism group contains the variety of all idempotent algebras of the given type: every idempotent algebra B can be embedded as a retract into an algebra...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 3-4 |
| Kulcsszavak: | Matematika, Algebra |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-013-271-3 |
| Online Access: | http://acta.bibl.u-szeged.hu/34833 |
| Tartalmi kivonat: | The quasivariety consisting of all the algebras of a given type that can be embedded as a subalgebra into some algebra which has a transitive automorphism group contains the variety of all idempotent algebras of the given type: every idempotent algebra B can be embedded as a retract into an algebra which has a transitive automorphism group and which is simultaneously a subdirect power of B and a direct limit of powers of B. This result applies in particular to lattices, bands, Steiner quasigroups and so on. |
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| Terjedelem/Fizikai jellemzők: | 399-407 |
| ISSN: | 0001-6969 |