Representations of algebras in varieties generated by infinite primal algebras. (Q471157)

It is known that if \(A\) is a finite primal algebra then the variety \(V(A)\) generated by \(A\) is equivalent as a category to the category of Boolean algebras. In fact, every algebra in \(V(A)\) is isomorphic to a Boolean power of \(A\). This result cannot be extended to infinite primal algebras as shown by the author. He proves that if \(A\) is an infinite primal algebra then any algebra in \(V(A)\) is a limit reduced power of \(A\) and he constructs a category equivalent to the category \(V(A)\).