Cohomology of rings with algebraic group action (Q1076101)

Let k be n algebraically closed field, H an affine algebraic group oer k, R a commutative Noetherian k-algebra on which H acts by rational k- algebra automorphisms. R-modules which are simultaneously rational H- modules such that R and H act compatibly are called \(R\cdot H\)-modules. The paper is concerned with homological algebra for \(R\cdot H\)-modules, especially with injective modules, minimal injective resolutions, and cohomology.