Quasiequational theories of flat algebras
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 3, pp. 665-675
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We prove that finite flat digraph algebras and, more generally, finite compatible flat algebras satisfying a certain condition are finitely $q$-based (possess a finite basis for their quasiequations). We also exhibit an example of a twelve-element compatible flat algebra that is not finitely $q$-based.
@article{CMJ_2005__55_3_a7,
author = {Je\v{z}ek, J. and Mar\'oti, M. and McKenzie, R.},
title = {Quasiequational theories of flat algebras},
journal = {Czechoslovak Mathematical Journal},
pages = {665--675},
publisher = {mathdoc},
volume = {55},
number = {3},
year = {2005},
mrnumber = {2153090},
zbl = {1081.08014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2005__55_3_a7/}
}
Ježek, J.; Maróti, M.; McKenzie, R. Quasiequational theories of flat algebras. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 3, pp. 665-675. http://geodesic.mathdoc.fr/item/CMJ_2005__55_3_a7/