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.
Reihe
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Illustrationen
Worked examples or Exercises; 1 Halftones, black and white
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 15 mm
Gewicht
ISBN-13
978-1-316-61958-2 (9781316619582)
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Schweitzer Klassifikation
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.
Autor*in
Western Sydney University
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.
