Geodesic
Criteria for the validity of Goldie's theorems for graded rings
Algebra i logika, Tome 57 (2018) no. 5, pp. 547-555

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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. 
@article{AL_2018_57_5_a2,
     author = {A. L. Kanunnikov},
     title = {Criteria for the validity of {Goldie's} theorems for graded rings},
     journal = {Algebra i logika},
     pages = {547--555},
     publisher = {mathdoc},
     volume = {57},
     number = {5},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2018_57_5_a2/}
}
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A. L. Kanunnikov. Criteria for the validity of Goldie's theorems for graded rings. Algebra i logika, Tome 57 (2018) no. 5, pp. 547-555. http://geodesic.mathdoc.fr/item/AL_2018_57_5_a2/