Can I read Understanding Polynomial Identities in Algebras on EtoBox?
Understanding Polynomial Identities in Algebras by michael is a document available to read on EtoBox.
What is Understanding Polynomial Identities in Algebras about?
The document summarizes key aspects of the classical theory of polynomial identities for algebras, with a focus on matrix algebras. It introduces polynomial identities and PI-algebras, provides examples of polynomial identities for 2x2 and 3x3 matrix algebras, and discusses standard polynomials. It describes how any finite-dimensional algebra is a PI-algebra and covers the Amitsur-Levitzki theorem, which establishes a polynomial identity of degree 2n for the matrix algebra Mn(k).
- Author
- michael
- Language
- EN