B. Petrenko

activity

20052020

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

4 citations · 5 across the 3 of their papers we have counts for

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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…