TY - JOUR
T1 - The general linear group of polynomial rings over regular rings.
AU - Vorst, Ton
PY - 1981/1/1
Y1 - 1981/1/1
N2 - In this note we shall prove for two types of regular rings A that every element of GLr(A[X1, …, Xn]) is a product of an element of Er(A[X1, …, Xn])(the group of elementary matrices) and an element of GLr(A), for r ≥ 3 and n arbitrary. This is a kind of GLr-analogue of results of Lindel and Mohan-Kumar and is an extension of a result of Suslin.
AB - In this note we shall prove for two types of regular rings A that every element of GLr(A[X1, …, Xn]) is a product of an element of Er(A[X1, …, Xn])(the group of elementary matrices) and an element of GLr(A), for r ≥ 3 and n arbitrary. This is a kind of GLr-analogue of results of Lindel and Mohan-Kumar and is an extension of a result of Suslin.
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U2 - 10.1080/00927878108822596
DO - 10.1080/00927878108822596
M3 - Article
AN - SCOPUS:0442309149
SN - 0092-7872
VL - 9
SP - 499
EP - 509
JO - Communications in Algebra
JF - Communications in Algebra
IS - 5
ER -