Criteria for the Validity of Goldie’s Theorems for Graded Rings
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We specify conditions on a group G that are necessary and sufficient for analogs of Goldie’s theorems to hold in a class of G-graded rings, i.e., for every G-graded gr-prime (gr-semiprime) right Goldie ring to possess a completely gr-reducible graded classical right ring of quotients.
Keywordsgraded Goldie rings graded rings of quotients
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