Locally inner automorphisms of algebras
Copyright policy )Locally inner automorphisms of algebras
The connection between automorphisms of Azumaya algebras and the Picard group of the center has been noticed by Rosenberg-Zelinsky (RZ) [8], following a remark by Auslander-Goldman [l]. This connection has been generalized, using the Morita context, first by Bass [4] and more recently by Frohlich [5]. In my thesis I suggested another way of proving the result of [8]. This is done rather mechanically, by passing to the spectrum of the center of the given Azumaya algebra and taking the exact cohomology sequence resulting from an exact sequence of sheaves of units. This is described, in more detail, further on. However, this way of proving the RZ theorem shows two things:
- Tel Aviv University Israel
Algebra and Number Theory, Relevant commutative algebra, Sheaves, derived categories of sheaves, etc., Commutative ring extensions and related topics, Automorphisms and endomorphisms
Algebra and Number Theory, Relevant commutative algebra, Sheaves, derived categories of sheaves, etc., Commutative ring extensions and related topics, Automorphisms and endomorphisms
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!