Tsukuba Journal of Mathematics
- Tsukuba J. Math.
- Volume 23, Number 2 (1999), 293-320.
Azumaya algebras with general gradings and their automorphisms
Abstract
Some basic properties of graded Azumaya algebras are given systematically. Here, the grading is indexed by an arbitrary additive group and the notion of a graded Azumaya algebra is relative to a choice of a commutation factor. We also establish two exact sequences which generalize the Skolem-Noether theorem.
Article information
Source
Tsukuba J. Math., Volume 23, Number 2 (1999), 293-320.
Dates
First available in Project Euclid: 30 May 2017
Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1496163874
Digital Object Identifier
doi:10.21099/tkbjm/1496163874
Mathematical Reviews number (MathSciNet)
MR1715480
Zentralblatt MATH identifier
0964.16037
Citation
Ikai, Hisatoshi. Azumaya algebras with general gradings and their automorphisms. Tsukuba J. Math. 23 (1999), no. 2, 293--320. doi:10.21099/tkbjm/1496163874. https://projecteuclid.org/euclid.tkbjm/1496163874
