Algebraically Equivalent Clones


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Two functional clones F and G on a set A are said to be algebraically equivalent if sets of solutions for F- and G-equations coincide on A. It is proved that pairwise algebraically nonequivalent existentially additive clones on finite sets A are finite in number. We come up with results on the structure of algebraic equivalence classes, including an equationally additive clone, in the lattices of all clones on finite sets.

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A. Pinus

Novosibirsk State Technical University

编辑信件的主要联系方式.
Email: ag.pinus@gmail.com
俄罗斯联邦, pr. Marksa 20, Novosibirsk, 630092

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