Strongly Graded Rings of Finite Groups

DOI10.1080/00927872.1983.10487600zbMath0522.16002OpenAlexW2044037913MaRDI QIDQ3672125

Constantin Năstăsescu

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00927872.1983.10487600

zbMATH Keywords

prime idealsJacobson radicalstrongly graded ringsfiniteness conditionsnormalizing extensionsMaschke's theoremcategory of left graded modules

Mathematics Subject Classification ID

Group rings (16S34) Graded rings and modules (associative rings and algebras) (16W50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (21)

Localization and ideal theory in Noetherian strongly group-graded rings ⋮ Cohen-Macaulay and Gorenstein finitely graded rings ⋮ Strongly graded rings with the bounded splitting property ⋮ Separable functors applied to graded rings ⋮ Some constructions over graded rings: Applications ⋮ Injective homogeneity and the Auslander–Gorenstein property ⋮ Clifford theory for projective modules over strongly graded rings ⋮ Classification of indecomposable modules for finite group schemes of domestic representation type ⋮ A note on the graded isoradical of a graded ring ⋮ Infinite Crossed Products and Group-Graded Rings ⋮ Radicals and bands of associative algebras ⋮ On classical Krull dimension of group-graded rings ⋮ Cocycle twists of algebras ⋮ Relative projectivity, graded Clifford theory, and applications ⋮ Graded modules over \(G\)-sets. II ⋮ Finitely graded rings, morita duality and self-injectivity ⋮ A note on the socle of graded modules ⋮ Von Neumann regularity of smash products associated with \(G\)-set gradings. ⋮ ON THE STRUCTURE OF AUGMENTED GRADED RINGS ⋮ Divtsorially graded rings by polycyclic-by-finite groups ⋮ Group-Graded Rings, Smash Products, and Group Actions

Cites Work

• Unnamed Item
• Modules over finite groups
• Group-graded rings and modules
• Primitive ideals in crossed products and rings with finite group actions
• Compounding Clifford's theory
• On the ubiquity of Gorenstein rings
• Two applications of maschke's theorem
• On strongly graded rings and crossed products
• Dimension de krull et codeviation. Application au theoreme d'eakin
• An Exact Sequence Associated with a Generalized Crossed Product
• Rings and modules of quotients

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