The structure theory of Z2–central simple graded algebras was investigated by C.T.C.Wall in 1964. In 1995, C.Koç introduced w-Clifford algebras associated to d-forms on a finite dimensional vector spaces over fields containing a primitive d-th root of unity w. Then he gave the structure theorem, generalizing the structure theorem of Clifford algebras associated to quadratic forms.
In this thesis we generalize the structure theory of Z2-CSGA and we obtain the classification theory of Zp-CSGAs where p is a prime number. Then using this we get the results given by C.Koç.
Keywords: Central Simple Graded Algebra, Quadratic Forms, Primitive
dth Root of Unity, w-Clifford Algebra.