Kemer's Theorem for Affine PI Algebras Over a Field of Characteristic Zero

TL;DR

This paper provides a proof of Kemer's representability theorem specifically for affine PI algebras over fields with characteristic zero, advancing understanding in algebraic structures.

Contribution

It offers a new proof of Kemer's theorem tailored for affine PI algebras over characteristic zero fields, filling a gap in existing literature.

Findings

Proof of Kemer's representability theorem for affine PI algebras.

Clarification of algebraic structure properties in characteristic zero.

Enhanced theoretical framework for affine PI algebras.

Abstract

We present a proof of Kemer's representability theorem for affine PI algebras over a field of characteristic zero.