%0 Journal Article
%T Functionally recursive rings of matrices-Two examples
%A Said N. Sidki
%J Mathematics
%D 2008
%I arXiv
%X 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 isomorphic to the 2-generated free ring. The second is a 2-generated monomial ring such that the multiplicative semigroup of monomials in the generators is nil of degree 5 and the ring has Gelfand Kirillov dimension 1 + log(2)/log(a) where a=1/2(1+sqrt(5)).
%U http://arxiv.org/abs/0812.4057v2