S. Sidki

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20052009

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math.RA2008

Functionally recursive rings of matrices-Two examples

Said N. Sidki

We define the notions of finite-state and functionally recursive matrices and their growth. We also introduce two rings generated by functionally recursive matrices. The first is i…

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…