B. Petrenko

activity

20052011

most citedSome formulas for the smallest number of generators for finite direct sums of matrix algebras

4 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.AG2011

On the conjectures of Atiyah and Sutcliffe

Marcin Mazur, Bogdan V. Petrenko

Motivated by certain questions in physics, Atiyah defined a determinant function which to any set of $n$ distinct points $x_{1}, ..., x_{n}$ in $R^{3}$ assigns a complex number $D…

math.RA2006★ 4 cited

Some formulas for the smallest number of generators for finite direct sums of matrix algebras

R. V. Kravchenko, B. V. Petrenko

We obtain an asymptotic upper bound for the smallest number of generators for a finite direct sum of matrix algebras with entries in a finite field. This produces an upper bound fo…

math.RA2005

On pairs of matrices generating matrix rings and their presentations

B. V. Petrenko, S. N. Sidki

Let $M_{n} (Z)$ the ring of $n$ -by- $n$ matrices with integral entries, and $n \geq 2$ . This paper studies the set $G_{n} (Z)$ of pairs $(A, B) \in M_{n} (Z)^{2}$ gen…