Semisimplicity and separability for pseudocompact algebras
Rings and Algebras
2025-01-20 v1
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.
Cite
@article{arxiv.2207.06281,
title = {Semisimplicity and separability for pseudocompact algebras},
author = {Kostiantyn Iusenko and John MacQuarrie},
journal= {arXiv preprint arXiv:2207.06281},
year = {2025}
}
Comments
21 pages