TY - BOOK AU - Hazrat,Roozbeh TI - Graded rings and graded Grothendieck groups T2 - London Mathematical Society lecture note series SN - 9781316717134 (ebook) AV - QA251.5 .H39 2016 U1 - 512/.4 23 PY - 2016/// CY - Cambridge PB - Cambridge University Press KW - Grothendieck groups KW - Graded rings KW - Rings (Algebra) N1 - Title from publisher's bibliographic system (viewed on 05 May 2016) N2 - This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then focuses in more detail on Grothendieck groups, Morita theory, Picard groups and K-theory. The author extends known results in the ungraded case to the graded setting and gathers together important results which are currently scattered throughout the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory UR - https://doi.org/10.1017/CBO9781316717134 ER -