Group-Graded Rings and Duality
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Publication:3708928
DOI10.2307/2000175zbMath0584.16001OpenAlexW4241261557MaRDI QIDQ3708928
Publication date: 1985
Full work available at URL: https://doi.org/10.2307/2000175
dualitysmash productsrings of matricesfinite group actionsskew group ringsgroup-graded ringsgroup gradings on rings
Module categories in associative algebras (16D90) Prime and semiprime associative rings (16N60) Group rings (16S34) Graded rings and modules (associative rings and algebras) (16W50)
Related Items (39)
Localization and ideal theory in Noetherian strongly group-graded rings ⋮ Graded equivalence theory with applications ⋮ A Noether Skolem theorem for group-graded rings. ⋮ Selfduality and strongly graded rings ⋮ Modules graded by G-sets ⋮ Duality theorems for rings with actions or coactions ⋮ Duality theorems for graded algebras and coalgebras ⋮ A generalization of the smash product of a graded ring ⋮ When is R-gr equivalent to the category of modules? ⋮ A generalization of Gabriel's Galois covering functors. II: 2-categorical Cohen-Montgomery duality ⋮ Modules graded by \(G\)-sets: Duality and finiteness conditions ⋮ On co-semihereditary rings ⋮ On the Jacobson radical of a groupoid graded ring ⋮ Galois extensions for co-Frobenius Hopf algebras ⋮ Separable functors applied to graded rings ⋮ Categories of modules graded by \(G\)-sets. Applications ⋮ Gradings of finite support. Application to injective objects ⋮ Infinite group-graded rings, rings of endomorphisms, and localization ⋮ Injective homogeneity and the Auslander–Gorenstein property ⋮ Morita duality and finitely group-graded rings ⋮ Coinduction functor and simple comodules. ⋮ A duality theorem for vertex operator algebras ⋮ Infinite Crossed Products and Group-Graded Rings ⋮ On when a graded ring is graded equivalent to a crossed product ⋮ Flat model structures under excellent extensions ⋮ Upper middle annihilators ⋮ A generalization of Gabriel's Galois covering functors and derived equivalences ⋮ Skew category, Galois covering and smash product of a 𝑘-category ⋮ Graded modules over \(G\)-sets. II ⋮ Integral extensions of noncommutative rings ⋮ Actions of divided power Hopf algebras ⋮ On presented dimensions of modules and rings. ⋮ Sectional algebras of semigroupoid bundles ⋮ Categorical equivalences and realization theorems ⋮ Multialternating graded polynomials and growth of polynomial identities ⋮ Rings Graded by Polycyclic-by-Finite Groups ⋮ Noetherian semigroup algebras ⋮ The rings characterized by minimal left ideals. ⋮ Semiprime crossed products over copointed Hopf algebras
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