Tsukuba Journal of Mathematics

Azumaya algebras with general gradings and their automorphisms

Hisatoshi Ikai

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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


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