About finding of maximal subclones in weak-central clone

N. G. Parvatov

Tomsk State University, Tomsk, Russia

Abstract: The completeness problem in weak-central clone is considered. General conditions are formulated for finding the maximal subclones of such clone. Explicit description of maximal subclones with so-called weak essential functions is received in the case of weak-central clone defined by a hereditary set system. Bibliogr. 14.

Keywords: closed class, clone, predicate, preserving the predicate, Galois connection, completeness problem, weak-central predicate, central predicate, weak-central clone.

UDC: 519.7

Received: 14.06.2011

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