On the Primitive Exponent Set of Symmetric Infinite BooleanMatrics
对称无限布尔方阵的本原指数集的刻划

Symmetric infinite Boolean matrices are considered.Firstly a sufficient and necessary condition is given for symmetric infinite Boolean matrices to become primitive matri- ces.Then it is shown that the lease upper bound of the primitive exponent set of the symmetric infinite Boolean matrices with diameter d is 2d.Finally it is proven that the primitive exponent set of symmetric infinite Boolean matrices with diameter no more than d is E_d={1,2,...,2d}.