A note on generic objects and locally finite triangulated categories
Representation Theory
2014-12-05 v2
Abstract
We show that the homotopy category of injective -modules is generically trivial if and only if the derived category of all modules is generically trivial for an algebra . Moreover we show some connections between the generic objects, locally finiteness and Krull-Gabriel dimension.
Cite
@article{arxiv.1412.1159,
title = {A note on generic objects and locally finite triangulated categories},
author = {Zhe Han},
journal= {arXiv preprint arXiv:1412.1159},
year = {2014}
}
Comments
8 pages. Comments are welcome