Restriction-closed Hyperclones
Boris A. Romov
The sets of multi-valued operations closed with respect to compositions and restrictions, called restriction-closed hyperclones, defined on the finite set E(k) = {0 1 …, k –1 }( k≥2) are investigated. The set of all maximal restriction-closed pre-hyperclones (composition without projections) is obtained. Based on it the analogue of Slupecki completeness criteria in restriction-closed pre-hyperclones is established. Next the problem of classification of restriction-closed hyperclones according to their single-valued clone component is considered.