No abstract

No abstract

The relationship between the properties of difunctionality and ternary relations is analyzed as applied to information factorization problems. Conditions are found under which arbitrary n-ary relations induce multialgebraic systems with a common carrier in the form of a Cartesian cube. Multigroup axiomatics is considered. Conditions of existence of groups over equivalence classes are formulated and proved. Examples of producing multigroups and cases when a common carrier is absent are given.

No abstract