Finite dimensional factor algebras of F_2[X_1,...,X_n] and their fixed point subalgebras

Abstract

Fixed point subalgebras of finite dimensional factor algebras of algebras of polynomials in n indeterminates over the finite field ${\mathbb{F}}_2$ (with respect to all ${\mathbb{F}}_2$-algebra automorphisms) are fully described.

3 pages, submitted to Proceedings of Congress on Engineering and Technology (CET2012), 2012, Beijing, China