Graded Prime Goldie Rings / D. S. Bazhenov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2017. № 2. P. 55-57 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 70-72].

Prime Goldie rings graded by a 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 (which enhances the results of Goodearl–Stafford obtained for Abelian groups). An example where such ring does not exist is constructed (a counterexample for a semi-prime ring was already known).

Key words: graded rings, gr-prime rings, Goldie rings.