Geodesic
Quasiequational theories of flat algebras
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 3, pp. 665-675

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MR Zbl
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.
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.
Classification : 08B05, 08C15
Keywords: quasiequation; flat algebra 
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/
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     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},
     year = {2005},
     volume = {55},
     number = {3},
     mrnumber = {2153090},
     zbl = {1081.08014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2005_55_3_a7/}
}
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