Title

Idempotent Algebras and Symmetry

Document Type

Article

Language

eng

Format of Original

9 p.

Publication Date

2014

Publisher

Bolyai Institute

Source Publication

Acta Scientiarum Mathematicarum

Source ISSN

0001-6969

Original Item ID

doi: 10.14232/actasm-013-271-3

Abstract

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.

Comments

Acta Scientiarum Mathematicarum, Vol. 80 (2014): 399-407. DOI.