A Horrocks-Type Theorem for Even Orthogonal K2 Page 1 Documenta Math. 767 A
Horrocks-Type Theorem for Even Orthogonal K2 Andrei Lavrenov and Sergey Sinchuk …

In our previous joint papers with Roozbeh Hazrat and Alexei Stepanov we established
commutator formulas for relative elementary subgroups in GL (n, R), n≥ 3, and other similar …

The problem of bounded elementary generation is now completely settled for all Chevalley
groups of rank $\ge 2$ over arbitrary Dedekind rings $ R $ of arithmetic type with the fraction …

In our joint paper with Alexei Stepanov it was established that for any two comaximal ideals
A and B of a commutative ring R, A+ B= R, and any n⩾ 3 one has [E (n, R, A), E (n, R, B)]= E …

In the present paper, which is a direct sequel of our papers [10, 11, 35] joint with Roozbeh
Hazrat, we achieve a further dramatic reduction of the generating sets for commutators of …

Let $ R $ be any associative ring with $1 $, $ n\ge 3$, and let $ A, B $ be two-sided ideals of
$ R $. In the present paper we show that the mixed commutator subgroup $[E (n, R, A), E (n …

In the present paper, which is an outgrowth of the authors' joint work with Anthony Bak and
Roozbeh Hazrat on the unitary commutator calculus [9, 27, 30, 31], generators are found for …

Let R be any associative ring with 1, n≥ 3, and let A, B be two-sided ideals of R. In our
previous joint works with Roozbeh Hazrat [17],[15], we have found a generating set for the …

In the present paper we continue the study of the elementary commutator subgroups $[E (n,
A), E (n, B)] $, where $ A $ and $ B $ are two-sided ideals of an associative ring $ R $, $ n\ge …

Let R be any associative ring with 1, let n≥ 3, and let A, B be two-sided ideals of R. In the
present paper, we show that the mixed commutator subgroup [E (n, R, A), E (n, R, B)] is …