Some families of closed classes in P k defined by additive formulas
Dmitry Germanovich Meshchaninov · Discrete Mathematics and Applications · 2022
Abstract We analyse closed classes in k -valued logics containing all linear functions modulo k . The classes are determined by divisors d of a number k and canonical formulas for functions. We construct the lattice of all such classes for k = p 2 , where p is a prime, and construct fragments of the lattice for other composite k .