Corner replacement for Morita contexts

IF 1 3区数学 Q1 MATHEMATICS Linear Algebra and its Applications Pub Date : 2024-06-14 DOI:10.1016/j.laa.2024.06.013

Raphael Bennett-Tennenhaus

引用次数: 0

Abstract

We consider how Morita equivalences are compatible with the notion of a corner subring. Namely, we outline a canonical way to replace a corner subring of a given ring with one which is Morita equivalent, and look at how such an equivalence ascends.

We use the language of Morita contexts, and then specify these more general results. We give applications to trivial extensions of finite-dimensional algebras, tensor rings of pro-species, semilinear clannish algebras arising from orbifolds, and functor categories.

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替换森田文脉的角落

我们考虑了莫里塔等价如何与角子环的概念相容。也就是说，我们概述了用莫里塔等价环替换给定环的角子环的典型方法，并研究了这种等价如何上升。我们将这些结果应用于有限维代数的琐细扩展、原种张量环、由轨道产生的半线性簇代数以及函子范畴。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.

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