G-algebras, twistings, and equivalences of graded categories

Details G-algebras, twistings, and equivalences of graded categories G-algebras, twistings, and equivalences of graded categories

2006-08-31

arxiv.org/abs/math/0608791v3

Mathematics

Rings and Algebras

13 pages; typos corrected and revised slightly; to appear in Algebras and Representation Theory

Scientific paper

10.1007/s10468-009-9193-y

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.

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