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Zhu Bin (Department of Mathematics, Beijing Normal University, University, 100875,Beijing, China)  
Some characterisations of graded artin simple rings and the conditions for graded artin simple rings to be artin simple rings are obtained, The definition of graded PI-algebras and the graded version of kaplansky theorem on PI-theory are given.
【Fund】: 国家自然科学基金!19331010
【CateGory Index】: O153.3
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