B. Petrenko

activity

20022020

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

4 citations · 7 across the 8 of their papers we have counts for

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Showing 2005Show all

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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…