Volume 18, No 5, 2011, P. 80-97

UDC 519.7
N. G. Parvatov
About finding of maximal subclones in weak-central clone

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. 8.

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

Parvatov Nikolai Georgievich ¹
1. Tomsk State University,
36 Lenina ave., 634050 Tomsk, Russia
e-mail: parvatov@mail.tsu.ru