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&Mac179;2) are investigated. The set of all maxi-mal 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 clas-sification of restriction-closed hyperclones according to their single-valued clone component is considered.