Graded versions of Goldie's theorem.

DOI10.3103/S0027132211030077zbMath1304.16046MaRDI QIDQ2513212

Yanyan Li

Publication date: 2 February 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

group graded ringsgraded Goldie ringsmaximal graded quotient ringsclassical quotient rings

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Ore rings, multiplicative sets, Ore localization (16U20) Associative rings of fractions and localizations (16S85)

Related Items (8)

Graded prime Goldie rings ⋮ Goldie rings graded by a group with periodic quotient group modulo the center ⋮ Graded rings with finiteness conditions ⋮ Quotient rings of graded associative rings. I. ⋮ Graded versions of Goldie's theorem. II. ⋮ Criteria for the validity of Goldie's theorems for graded rings ⋮ Graded quotient rings ⋮ Orthogonal graded completion of graded semiprime rings.

Cites Work

• Graded and filtered rings and modules
• Arithmetically graded rings revisited
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