TY - JOUR
T1 - Generalized commutator formulas
AU - Hazrat, R.
AU - Zhang, Z.
PY - 2011/4
Y1 - 2011/4
N2 - Let A be an algebra which is a direct limit of module finite algebras over a commutative ring R with 1. Let I, J be two-sided ideals of A, GLn(A, I) the principal congruence subgroup of level I in GLn(A), and En(A, I) the relative elementary subgroup of level I. Using Bak's localization-patching method, we prove the commutator formula.
AB - Let A be an algebra which is a direct limit of module finite algebras over a commutative ring R with 1. Let I, J be two-sided ideals of A, GLn(A, I) the principal congruence subgroup of level I in GLn(A), and En(A, I) the relative elementary subgroup of level I. Using Bak's localization-patching method, we prove the commutator formula.
KW - Congruence subgroups
KW - Elementary subgroup
KW - General linear group
KW - Localization and patching
KW - Normal structure
KW - Sandwich classification theorems
UR - http://www.scopus.com/inward/record.url?scp=79952948818&partnerID=8YFLogxK
U2 - 10.1080/00927871003738964
DO - 10.1080/00927871003738964
M3 - Article
AN - SCOPUS:79952948818
SN - 0092-7872
VL - 39
SP - 1441
EP - 1454
JO - Communications in Algebra
JF - Communications in Algebra
IS - 4
ER -