Duality theorems for graded algebras and coalgebras

DOI10.1006/jabr.1996.6983zbMath0880.16019OpenAlexW2005937289MaRDI QIDQ1359027

Freddy M. J. van Oystaeyen, Sorin Dascalescu, Blass Torrecillas Jover, Constantin Năstăsescu

Publication date: 4 August 1997

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://repository.uantwerpen.be/docman/irua/3fb91c/5121.pdf

zbMATH Keywords

group algebrasdualitiescoalgebrasgraded algebrasHopf modulessmash productsHopf algebra actionsCohen-Montgomery duality

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Graded rings and modules (associative rings and algebras) (16W50) Smash products of general Hopf actions (16S40)

Related Items

Graded coalgebras, smash coproduct and a morita-takeuchi context ⋮ Von Neumann regularity of smash products associated with \(G\)-set gradings. ⋮ Morphisms of relative Hopf modules, smash products, and duality ⋮ Groupoid actions on sets, duality and a morita context

Cites Work

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• Semi-direct products of Hopf algebras
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• Variations on the smash product with applications to group-graded rings
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• Graded coalgebras and Morita-Takeuchi contexts
• Strongly inner actions, coactions, and duality theorems
• Some notes on the general Galois theory of rings
• Modules graded by G-sets
• Group-Graded Rings, Smash Products, and Group Actions
• Group-Graded Rings and Duality
• On strongly graded rings and crossed products

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