Zuhong Zhang

activity

20112020

most citedRelative and unrelative elementary groups, revisited

2 citations · 5 across the 8 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.RA2019★ 1 cited

Inclusion among commutators of elementary subgroups

Nikolai Vavilov, Zuhong Zhang

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 $R$ , $n \geq 3$ . Fi…

math.RA2019★ 1 cited

Multiple commutators of elementary subgroups: end of the line

Nikolai Vavilov, Zuhong Zhang

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

math.RA2019★ 2 cited

Relative and unrelative elementary groups, revisited

Nikolai Vavilov, Zuhong Zhang

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

math.KT2019

An elementary description of $K_{1} (R)$ without elementary matrices

Thomas Huettemann, Zuhong Zhang

Let $R$ be a ring with unit. Passing to the colimit with respect to the standard inclusions $G L (n, R) \to G L (n + 1, R)$ (which add a unit vector as new last row and column) yields, by…

Inclusion among commutators of elementary subgroups

Multiple commutators of elementary subgroups: end of the line

Relative and unrelative elementary groups, revisited

An elementary description of K1​(R) without elementary matrices

An elementary description of $K_{1} (R)$ without elementary matrices