Frobenius and Mashke type Theorems for Doi-Hopf modules and entwined modules revisited: a unified approach

2000/03/29 by Tomasz Brzeziński, Tomasz Brzezinski, S. Caenepeel +6 · 1 citation
Mathematics · #16S40 #16W30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.QA #math.RA #msc:16S40 #msc:16W30

paper · pdf · doi:10.48550/arxiv.math/0003198

28 pages, LaTeX; Contribution to the proceedings of the ``Fifth week on algebra and geometry (SAGA5)'', Leon, Spain 1999

arxiv created 2000/03/29 · openalex publication_date 2000/03/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study when induction functors (and their adjoints) between categories of Doi-Hopf modules and, more generally, entwined modules are separable, resp. Frobenius. We present a unified approach, leading to new proofs of old results by the authors, as well as to some new ones. Also our methods provide a categorical explanation for the relationship between separability and Frobenius properties.

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