@article{283791ed78bc4198901dbd746699186c,
title = "On pairs of matrices generating matrix rings and their presentations",
author = "B.V. Petrenko and S.N. Sidki",
note = "By B.V. Petrenko and S.N. Sidki AbstractLet Mn(Z) be the ring of n-by-n matrices with integral entries, and n⩾2. This paper studies the set Gn(Z) of pairs (A,B)∈Mn(Z)2 generating Mn(Z) as a ring. We use several presentations of Mn(Z) with generators X=∑i=1nEi+1,i and Y=E11 to obtain the following consequences.(1)Let k⩾1.",
year = "2007",
month = apr,
day = "1",
doi = "10.1016/J.JALGEBRA.2006.08.011",
language = "American English",
volume = "310",
journal = "Journal of Algebra",
}