论文标题
伪反应代数的半透明性和可分离性
Semisimplicity and separability for pseudocompact algebras
论文作者
论文摘要
在这篇说明性文章中，我们对表现出良好的伪造代数类别进行了独立的介绍，重点是半岛和可分离代数的基础类别。我们给出类似于有限尺寸代数的代数的特征。我们给出了伪造代数的Wedderburn-Malcev定理的独立证明。
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.
