Graded prime Goldie rings
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2017), pp. 55-57

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Prime Goldie rings graded by group are studied. It is proved that there exists a completely gr-reducible graded ring of fractions in the case of a grading group with a finite commutator subgroup (enhancing results of Goodearl–Stafford obtained for Abelian groups), and an example for which such a ring doesn't exist is constructed (a counterexample for a semi-prime ring was already known).
@article{VMUMM_2017_2_a8,
     author = {D. S. Bazhenov},
     title = {Graded prime {Goldie} rings},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {55--57},
     publisher = {mathdoc},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a8/}
}
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D. S. Bazhenov. Graded prime Goldie rings. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2017), pp. 55-57. http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a8/