Projectivity of modules over rings with suitable group action

DOI10.1080/00927878208822749zbMath0524.13004OpenAlexW1981441919MaRDI QIDQ3037572

Ida Doraiswamy

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822749

zbMATH Keywords

projectivityintegral domain*-ring*-modulelinearly reductive algebraic group(R-G)-module

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Projective and free modules and ideals in commutative rings (13C10) Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items

Cohomology of rings with algebraic group action ⋮ Equivariant completions of rings with reductive group action ⋮ Homological algebra in the category \(\text{Mod}_{(R\#U(g))}\) ⋮ Brauer-Clifford group of \((S,\mathcal{G},H)\)-Azumaya algebras ⋮ Differential étale extensions and differential modules over differential rings ⋮ Brauer–Clifford group of (S,G,H)-Azumaya comodule algebras ⋮ Unnamed Item ⋮ The Brauer-Clifford group for locally finite (S,H)-Azumaya algebras ⋮ Projective action of affine group schemes ⋮ PROJECTIVITY AND FLATNESS OF A MODULE OVER THE SUBRING OF INVARIANTS ⋮ Fundamental theorem of Poisson \((A,H)\)-Hopf modules ⋮ Brauer-Clifford group of Azumaya-Poisson \((S, H)\)-algebras ⋮ Projectivity and freeness over comodule algebras ⋮ A Mackey imprimitivity theory for algebraic groups

Cites Work

• Picard groups of rings of invariants
• Dimension in rings with solvable algebraic group action.