Separable functors and firm modules

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Patrik Lundström
DOI: 10.48550/arxiv.2602.13417
Cited by: 0

Abstract

We develop a theory of separable ring extensions and separable functors for nonunital rings in the setting of firm modules. We prove nonunital analogues of classical results on functorial separability and semisimplicity, and apply these results to obtain a locally unital version of Maschke's theorem for group rings.

Fields of Study & Subjects

Rings Modules and Algebras Advanced Topics in Algebra Algebraic structures and combinatorial models

Publication details

Journal / source
arXiv (Cornell University)
Publication date
13 February 2026
Language
EN
Document type
Preprint