Semisimplicity and separability for pseudocompact algebras
arXiv:2207.06281 · doi:10.1142/S0219498825500781
Abstract
In this expository article, we give a self-contained introduction to the wonderfully well-behaved class of pseudocompact algebras, focusing on the foundational classes of semisimple and separable algebras. We give characterizations of such algebras analogous to those for finite dimensional algebras. We give a self-contained proof of the Wedderburn-Malcev Theorem for pseudocompact algebras.
21 pages