Cohomology of rings with algebraic group action
type: Item
instance of: scholarly article
title: Cohomology of rings with algebraic group action
zbMATH Open document ID: 0593.14030
DOI: 10.1016/0001-8708(86)90048-4
published in: Advances in Mathematics
publication date: 1986-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 14L30
Mathematics Subject Classification ID: 13D05
Mathematics Subject Classification ID: 13C11
zbMATH DE Number: 3952953
zbMATH Keywords: action of affine algebraic group
zbMATH Keywords: algebra automorphisms
zbMATH Keywords: minimal injective resolutions
author: Andy R. Magid
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
full work available at URL: 0001-8708(86)90048-4
OpenAlex ID: W2039448312
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description: scientific article; zbMATH DE number 3952953