Monomial Clones Over Small Finite Fields
Hajime Machida and Jovanka Pantović
A monomial clone is a clone which is generated by a normalized monomial. For a prime power k, with 2 ≤ k ≤ 13, we consider monomial clones on the finite field GF(k). There are two monomial clones on a two-element set and six such clones on a three-element set. In other cases, we determine clones generated by unary monomials and binary idempotent monomials. We list all unary and binary monomial clones on GF(5).
Keywords: Clone, monomial clone, minimal monomial