G-algebras, twistings, and equivalences of graded categories
Rings and Algebras
2009-12-13 v3
Abstract
Given Z-graded rings A and B, we study when the categories gr-A and gr-B are equivalent. We relate the Morita-type results of Ahn-Marki and del Rio to the twisting systems introduced by Zhang. Using Z-algebras, we obtain a simple proof of Zhang's main result. This makes the definition of a Zhang twist extremely natural and extends Zhang's results.
Cite
@article{arxiv.math/0608791,
title = {G-algebras, twistings, and equivalences of graded categories},
author = {Susan J. Sierra},
journal= {arXiv preprint arXiv:math/0608791},
year = {2009}
}
Comments
13 pages; typos corrected and revised slightly; to appear in Algebras and Representation Theory