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On Relative K 2-Group of Split Radical Ideals
Authors:Ziqiang Fan  Yuzhen Peng  Guangtian Song
Institution:1. Department of Mathematics , The Anhui University of Science and Technology , Huainan , China zqfan71@163.com;3. Department of Mathematics , The University of Science and Technology of China , Hefei , China
Abstract:Let I be a split radical ideal of a ring R. In this article, the exact sequence 1 → K 2(R, I) → U R (I) → V(R, I) → 1 is given by using the method of extension of groups, where U R (I) is determined by generators and relations. The results of Maazen and Stienstra on the presentation for relative K 2 group of split radical pairs are extended and amplified.
Keywords:Extension of groups  K 2 group  Relative K 2 group
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