JP Journal of Algebra, Number Theory and Applications
Abstract: In this paper, we study the set of all 4-ary algebraic
(or polynomial) operations of idempotent algebras that have at least one binary,
one ternary and one 4-ary algebraic operation depending on every variable, and
there exists an integer such that
there is not an r-ary algebraic
operation depending on every variable. We prove that this set forms a finite
set.
