This study of graded rings includes the first systematic account of graded Grothendieck groups.

Roozbeh Hazrat is Associate Professor in pure mathematics at the University of Western Sydney. In 2015 he was awarded a Fellowship for Experienced Researchers by Germany's Alexander von Humboldt Foundation.

Introduction; 1. Graded rings and graded modules; 2. Graded Morita theory; 3. Graded Grothendieck groups; 4. Graded Picard groups; 5. Classification of graded ultramatricial algebras; 6. Graded versus ungraded K-theory; References; Index.