The class of all fibered automata is a variety of two-sorted algebras. This paper provides a full description of the lattice of varieties of fibred automata.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1121, author = {Anna Mu\'cka}, title = {The lattice of varieties of fibered automata}, journal = {Discussiones Mathematicae - General Algebra and Applications}, volume = {26}, year = {2006}, pages = {87-107}, zbl = {1138.08003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1121} }
Anna Mućka. The lattice of varieties of fibered automata. Discussiones Mathematicae - General Algebra and Applications, Tome 26 (2006) pp. 87-107. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1121/
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