TY - JOUR
T1 - On the structure of GL2 over stable range one rings
AU - Menal, Pere
AU - Vaserstein, Leonid N.
PY - 1990/6/12
Y1 - 1990/6/12
N2 - Under the first Bass stable range condition on a commutative ring A = 2A, Costa and Keller have described all normal subgroups of SL2A = E2A. We generalize this description, dropping the commutativity assumption. Our answer involves quasi-ideals of A rather than ideals (for all commutative rings A = 2A, every quasi-ideal is an ideal).
AB - Under the first Bass stable range condition on a commutative ring A = 2A, Costa and Keller have described all normal subgroups of SL2A = E2A. We generalize this description, dropping the commutativity assumption. Our answer involves quasi-ideals of A rather than ideals (for all commutative rings A = 2A, every quasi-ideal is an ideal).
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U2 - 10.1016/0022-4049(90)90154-A
DO - 10.1016/0022-4049(90)90154-A
M3 - Article
AN - SCOPUS:38249017521
SN - 0022-4049
VL - 64
SP - 149
EP - 162
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 2
ER -