NORMALITY OF THE ELEMENTARY SUBGROUP IN SP(2,A)

摘要

Let A be an associative ring with identity and involution, and let e_1,..., e_n be a full system of Hermitian idempotents in A such that every e_i generates A as a two-sided ideal. It is proved that the elementary subgroup is normal in Sp(2, A) if n≥ 3 and A satisfies an analog of the local stable rank condition. Bibliography: 16 titles.