This article is cited in 1 paper

Criteria for the validity of Goldie's theorems for graded rings

A. L. Kanunnikov

Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991 Russia

Abstract: We specify conditions on a group $G$ that are neccessary and sufficient for analogs of Goldie's theorems to hold in a class of $G$-graded rings, i.e., for every $G$-graded $\mathrm{gr}$-prime ($\mathrm{gr}$-semiprime) right Godie ring to possess a completely $\mathrm{gr}$-reducible graded classical right ring of quotients.

Keywords: graded Goldie rings, graded rings of quotients.

UDC: 512.540+510.5

Received: 24.02.2017
Revised: 22.03.2017

DOI: 10.33048/alglog.2018.57.503

 English version: Algebra and Logic, 2018, 57:5, 353–359

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