This book introduces various notions defined in graded terms extending the notions most frequently used as basic ingredients in the theory of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer group.

chapter Chapter I|18 pages

Generalized Crossed Products

chapter Chapter II|59 pages

Some Results on Commutative Graded Rings

chapter Chapter III|53 pages

Graded Brauer Groups and the Crossed Product Theorems

chapter Chapter IV|24 pages

Application to Some Special Cases

chapter Chapter V|44 pages

Etale Cohomology for Graded Rings

chapter Chapter VI|50 pages