Zariski closed algebras in varieties of universal algebra.
The authors study identical relations of algebras in the general context of universal algebra. An algebra \(A\) is representable if it is a subalgebra of a finite dimensional algebra \(B\) over a larger base field. The purpose of this paper is to develop the theory of the Zariski closure of a representable algebra (not necessarily associative) over an arbitrary integral domain. As an application, the authors prove that the codimension sequence of any representable Zariski-closed PI-algebra over an arbitrary field is exponentially bounded.
scientific article; zbMATH DE number 6384237
scientific article