On strongly graded rings and crossed products

DOI10.1080/00927878208822824zbMath0502.16001OpenAlexW2148959887MaRDI QIDQ3967658

Constantin Năstăsescu, Freddy M. J. van Oystaeyen

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822824

zbMATH Keywords

crossed productsgroup ringsstrongly graded ringsKrull dimensionspolycyclic-by-finite grouphomogeneous elementgraded left modulesfinite generated projective left modulesgeneralized Rees-ringsnoetherian strongly graded ringstrongly graded division ring

Mathematics Subject Classification ID

Group rings (16S34) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Graded rings and modules (associative rings and algebras) (16W50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (25)

Une cohomologie galoisienne et non abélienne pour les corps gauches ⋮ On graded classical 2-absorbing second submodules of graded modules over graded commutative rings ⋮ The intersection graph of graded submodules of a graded module ⋮ Produits croisés mixtes: extensions de groupes et extensions d'anneaux ⋮ Duality theorems for graded algebras and coalgebras ⋮ Hopf categories ⋮ Some properties of graded generalized 2-absorbing submodules ⋮ Intersection graphs of graded ideals of graded rings ⋮ On the classification of finite-dimensional semisimple Hopf algebras ⋮ On graded \(WAG2\)-absorbing submodule ⋮ Infinite Crossed Products and Group-Graded Rings ⋮ Unnamed Item ⋮ Asano-orders and graded rings ⋮ Graded extensions of monoidal categories ⋮ On graded weakly 2-absorbing primary submodules ⋮ Ibn for graded rings ⋮ Group gradings on full matrix rings ⋮ Localization and Catenarity in Strongly Graded Rings ⋮ What is an \(\Omega\)-Krull ring? ⋮ Marubayashi-Krull orders and strongly graded rings ⋮ Graded extensions of categories ⋮ Group graded rings ⋮ Strongly Graded Rings of Finite Groups ⋮ Strongly G-graded rings with component of degree e a semisimple Artinian ring ⋮ A cohomological interpretation of the graded Brauer group. II

Cites Work

• Group-graded rings and modules
• Compounding Clifford's theory
• The Radical of the Center of a Group Algebra
• Graded krull domains
• Unnamed Item
• Unnamed Item

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