Abstract:

On the basis of  double ring of real associative algebra, the properties of Clifford algebra Cl_p,q which generated by Minko
wski space R^p,q were discussed, which indicates that  all the non divisible Cl_p,qhas a double ring as its subalgebra and all the Cl_p,q with center subalgebra non divisible is a double ring.

Key words: Clifford algebra, double ring, real associative algebra, non divisible algebra