The Brauer group of Azumaya corings and the second cohomology group

Details The Brauer group of Azumaya corings and the second cohomology group The Brauer group of Azumaya corings and the second cohomology group

2005-05-31

arxiv.org/abs/math/0505686v1

Mathematics

Rings and Algebras

26 pages

Scientific paper

Let $R$ be a commutative ring. An Azumaya coring consists of a couple $(S,\Cc)$, with $S$ a faithfully flat commutative $R$-algebra, and an $S$-coring $\Cc$ satisfying certain properties. If $S$ is faithfully projective, then the dual of $\Cc$ is an Azumaya algebra. Equivalence classes of Azumaya corings form an abelian group, called the Brauer group of Azumaya corings. This group is canonically isomorphic to the second flat cohomology group. We also give algebraic interpretations of the second Amitsur cohomology group and the first Villamayor-Zelinsky cohomology group in terms of corings.

Affiliated with

Also associated with

No associations

Rating

The Brauer group of Azumaya corings and the second cohomology group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Brauer group of Azumaya corings and the second cohomology group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Brauer group of Azumaya corings and the second cohomology group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-455753