Abstract
Under the first Bass stable range condition on a commutative ring A = 2 A, Costa and Keller have described all normal subgroups of SL 2 A = E 2 A. We generalize this description, dropping the commutativity assumption. Our answer involves quasi-ideals of A rather than ideals (for all commutative rings A = 2 A, every quasi-ideal is an ideal).
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