ABSTRACT
STRUCTURE THEORY OF Zp-CENTRAL SIMPLE GRADED
ALGEBRAS
 
KURTULMAZ, Yosum
Ph.D. Department of Mathematics
Supervisor: Prof.Dr. Cemal Koç
September 1998, 52 pages.
 

    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.