Idempotent algebras and symmetry

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...

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Elmentve itt :
Bibliográfiai részletek
Szerző: Pastijn Francis J.
Dokumentumtípus: Cikk
Megjelent: Bolyai Institute, University of Szeged Szeged 2014
Sorozat:Acta scientiarum mathematicarum 80 No. 3-4
Kulcsszavak:Matematika, Algebra
Tárgyszavak:
Természettudományok
Matematika
mtmt:http://dx.doi.org/10.14232/actasm-013-271-3
Online Access:http://acta.bibl.u-szeged.hu/34833
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520 3 |a 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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