Functionally recursive rings of matrices-Two examples
Rings and Algebras
2009-10-23 v2 Group Theory
Abstract
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)).
Cite
@article{arxiv.0812.4057,
title = {Functionally recursive rings of matrices-Two examples},
author = {Said N. Sidki},
journal= {arXiv preprint arXiv:0812.4057},
year = {2009}
}
Comments
21 pages