On Relative K_2-Group of Split Radical Ideals

摘要

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.