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Equivalences between categories of modules and categories of comodules
- Source :
- Acta mathematica Sinica. English series, 24 (10
- Publication Year :
- 2006
-
Abstract
- We show the close connection between appearingly different Galois theories for comodules introduced recently in [J. G\'omez-Torrecillas and J. Vercruysse, Comatrix corings and Galois Comodules over firm rings, arXiv:math.RA/0509106.] and [R. Wisbauer, On Galois comodules (2004), to appear in Comm. Algebra.]. Furthermore we study equivalences between categories of comodules over a coring and modules over a firm ring. We show that these equivalences are related to Galois theory for comodules.<br />Comment: 19 pages, some corrections and additions to version 1
- Subjects :
- Ring (mathematics)
Pure mathematics
Applied Mathematics
General Mathematics
Mathematics::Number Theory
Galois theory
Mathematics::Rings and Algebras
Galois group
Mathematics - Rings and Algebras
Algèbre - théorie des anneaux - théorie des corps
Algebra
Rings and Algebras (math.RA)
Mathematics::K-Theory and Homology
Mathematics::Quantum Algebra
Mathematics::Category Theory
Mathematics - Quantum Algebra
FOS: Mathematics
Quantum Algebra (math.QA)
Algebra over a field
Connection (algebraic framework)
16W30
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Acta mathematica Sinica. English series, 24 (10
- Accession number :
- edsair.doi.dedup.....52a985422a9d2b74c22d645e36e784ff