Geodesic
On the structure of equationally closed classes
Diskretnaya Matematika, Tome 18 (2006) no. 4, pp. 18-30

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We study the structure of equationally closed classes. We prove a theorem on representation of the graph of a function in an equationally closed class in the form of a union of the sets of values of special vector functions. For any $k\ge2$ we establish the equational generability of any equationally closed class in $P_k$ by the set of all its $k$-place functions. We find all equationally precomplete classes in $P_k$ and prove a criterion of equational completeness. Some results are extended from equationally closed classes to positively closed classes. 
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     author = {S. S. Marchenkov},
     title = {On the structure of equationally closed classes},
     journal = {Diskretnaya Matematika},
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     publisher = {mathdoc},
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     number = {4},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2006_18_4_a2/}
}
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S. S. Marchenkov. On the structure of equationally closed classes. Diskretnaya Matematika, Tome 18 (2006) no. 4, pp. 18-30. http://geodesic.mathdoc.fr/item/DM_2006_18_4_a2/