矩阵的函数递归环-两个例子
Functionally recursive rings of matrices-Two examples
摘要：
我们定义了有限状态和功能递归矩阵及其增长的概念。我们还介绍了两个环生成的功能递归矩阵。第一个是同构于2-生成自由环。第二类是2-生成单项式环，使得生成元中的单项式的乘法半群为5次的零，且环的Gelfand Kirillov维数为1 + log（2）/log（a），其中a=1/2（1+sqrt（5））.
英文摘要：
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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