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Graded Versions of Goldie's Theorem / Kanunnikov A.L. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 3. P. 46-50 [Moscow Univ. Math. Bulletin. Vol. 66, N 3, 2011.]. We prove the graded variants of Goldie's theorem of existence, structure and coincidence of right classical and maximal quotient rings of a semiprime (prime) right Goldie's ring (Theorems 10, 11, 13). The main problem, the existence of a homogeneous regular element in each gr-essential right ideal, is solved by posing some additional requirements onto the group grading the ring or onto the homogeneous components of the ring.
Key words: graded Goldie's rings, graded quotient rings.
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