PROJECTIVITY AND FLATNESS OF A MODULE OVER THE SUBRING OF INVARIANTS

DOI10.1081/AGB-100106762zbMath0995.16030MaRDI QIDQ2758248

Thomas Guédénon

Publication date: 14 October 2002

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

zbMATH Keywords

Hopf algebrasantipodesflatnesssmash productsprojectivitycategories of finite-dimensional modules

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Free, projective, and flat modules and ideals in associative algebras (16D40)

Related Items (4)

Cohomology of Modules Over -categories and Co--categories ⋮ On the \(H\)-finite cohomology. ⋮ Semisimplicity of Locally Finite Graded R#H-Modules ⋮ Brauer-Clifford group of Azumaya-Poisson \((S, H)\)-algebras

Cites Work

• Unnamed Item
• Picard groups of rings of invariants
• Representation theory of Hopf Galois extensions
• On equivalences between module subcategories
• Homological algebra in the category \(\text{Mod}_{(R\#U(g))}\)
• Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension
• Localization, catenarity and dimensions in rings equipped with a Lie algebra action
• On the ubiquity of Gorenstein rings
• Projectivity of modules over rings with suitable group action
• An algebraic approach to the l i e algebras of cartan type
• On Flatness and Projectivity of a Ring as a Module over a Fixed Subring.

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