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arXiv · 2207.06281

Semisimplicity and separability for pseudocompact algebras

Kostiantyn Iusenko·John MacQuarrie
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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.

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Kostiantyn Iusenko, John MacQuarrie. 2022-07-13. Semisimplicity and separability for pseudocompact algebras. https://doi.org/10.1142/s0219498825500781

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