Graded Rings and Graded Grothendieck Groups
Seiten
2016
Cambridge University Press (Verlag)
978-1-316-61958-2 (ISBN)
Cambridge University Press (Verlag)
978-1-316-61958-2 (ISBN)
This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra, and brings together results scattered across the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory.
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.
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.
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.
| Erscheinungsdatum | 18.05.2016 |
|---|---|
| Reihe/Serie | London Mathematical Society Lecture Note Series |
| Zusatzinfo | Worked examples or Exercises; 1 Halftones, black and white |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 151 x 227 mm |
| Gewicht | 360 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik | |
| ISBN-10 | 1-316-61958-3 / 1316619583 |
| ISBN-13 | 978-1-316-61958-2 / 9781316619582 |
| Zustand | Neuware |
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