๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The Grothendieck group of an -angulated category

โœ Scribed by Bergh, Petter Andreas; Thaule, Marius

Book ID
121339564
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
438 KB
Volume
218
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Relations for the Grothendieck groups of
Relations for the Grothendieck groups of triangulated categories
โœ Jie Xiao; Bin Zhu ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 132 KB

A class of triangulated categories with a finiteness condition is singled out. These triangulated categories have Auslander-Reiten triangles. It is proved that the relations of the Grothendieck group of a triangulated category in this class are generated by all Auslander-Reiten triangles. Moreover,

Picard Groups, Grothendieck Rings, and B
Picard Groups, Grothendieck Rings, and Burnside Rings of Categories
โœ J.P. May ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 138 KB

for spurring me to write these observations, and I thank Halvard Fausk and Gaunce Lewis for careful readings of several drafts and many helpful comments. I thank Madhav Nori and Hyman Bass for help with the ring theory examples and Peter Freyd, Michael Boardman, and Neil Strickland for facts about c