Geodesic
Finiteness Conditions for Algebras of Relations
Informatics and Automation, Mathematical logic and algebra, Tome 242 (2003), pp. 103-107

Voir la notice de l'article provenant de la source Math-Net.Ru

Algebras of relations on a given set are considered; operations in an algebra are specified by various formulas of first-order logic. Different ways of introducing finiteness conditions for such algebras are studied. For each natural $n$, an example of an algebra is constructed that is generated by one $n$-ary relation and cannot be generated by its relations of smaller arity. An open problem is formulated. 
@article{TRSPY_2003_242_a7,
     author = {A. L. Semenov},
     title = {Finiteness {Conditions} for {Algebras} of {Relations}},
     journal = {Informatics and Automation},
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     publisher = {mathdoc},
     volume = {242},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2003_242_a7/}
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A. L. Semenov. Finiteness Conditions for Algebras of Relations. Informatics and Automation, Mathematical logic and algebra, Tome 242 (2003), pp. 103-107. http://geodesic.mathdoc.fr/item/TRSPY_2003_242_a7/