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arXiv · 0812.4057

Functionally recursive rings of matrices-Two examples

Said N. Sidki
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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)).

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Said N. Sidki. 2009-10-22. Functionally recursive rings of matrices-Two examples. https://arxiv.org/abs/0812.4057

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