Semisimplicity and separability for pseudocompact algebras

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Algebra and Its Applications Pub Date : 2023-11-08 DOI:10.1142/s0219498825500781

Kostiantyn Iusenko, John William MacQuarrie

引用次数: 0

Abstract

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.

查看原文本刊更多论文

伪紧代数的半简单性和可分性

我们给出了一个自包含的介绍，以奇妙的表现良好的一类伪紧代数，重点是半单代数和可分离代数的基本类。我们给出了类似于有限维代数的性质。给出了赝紧代数的Wedderburn-Malcev定理的一个自包含证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Algebra and Its Applications 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

226

审稿时长

4-8 weeks

期刊介绍： The Journal of Algebra and Its Applications will publish papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic sub-discipline will be considered.