Arithmetically graded rings revisited

DOI10.1080/00927878608823407zbMath0603.16001OpenAlexW1991083251MaRDI QIDQ3739294

Constantin Năstăsescu, Erna Nauwelaerts, Freddy M. J. van Oystaeyen

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00927878608823407

zbMATH Keywords

maximal ordergroup graded ringsclassical ring of fractionsgraded ring of fractionsprime left Goldie ringregular homogeneous elements

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Localization and associative Noetherian rings (16P50)

Related Items (15)

Divisorially graded rings, related groups, and sequences ⋮ Azumaya strongly graded rings and ray classes ⋮ Non commutative unique factorization rings ⋮ Goldie rings graded by a group with periodic quotient group modulo the center ⋮ Quotient rings of graded associative rings. I. ⋮ Unnamed Item ⋮ Lifting maximal orders ⋮ On the rings of the morita context which are some well-known orders ⋮ Graded quotient rings ⋮ Graded versions of Goldie's theorem. ⋮ Strongly graded rings which are generalized Dedekind rings ⋮ Filtrations on simple Artinian rings ⋮ On the Jordan kernel of a universal enveloping algebra ⋮ Generalized twisted group rings. ⋮ Graded Rings and Krull Orders

Cites Work

• Unnamed Item
• Unnamed Item
• Some constructions of rings
• Generalized Rees rings and relative maximal orders satisfying polynomial identities
• Finite generalized crossed products over tame and maximal orders
• Anneaux de Krull non commutatifs
• Generalized Rees rings and arithmetical graded rings
• Graded rings over arithmetical orders
• ∑ (Δ)-injectiv modules over a strongly graded ring
• Group graded rings

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