Cohomology of Restricted Lie-Rinehart Algebras and the Brauer Group

Details Cohomology of Restricted Lie-Rinehart Algebras and the Brauer Group Cohomology of Restricted Lie-Rinehart Algebras and the Brauer Group

2011-10-13

arxiv.org/abs/1110.3007v1

Mathematics

Rings and Algebras

20 pages

Scientific paper

We give an interpretation of the Brauer group of a purely inseparable extension of exponent 1, in terms of restricted Lie-Rinehart cohomology. In particular, we define and study the category $p$-$\rm{LR}(A)$ of restricted Lie-Rinehart algebras over a commutative algebra $A$. We define cotriple cohomology groups $H_{p-LR}(L,M)$ for $L\in p$-$\rm{LR}(A)$ and $M$ a Beck $L$-module. We classify restricted Lie-Rinehart extensions. Thus, we obtain a classification theorem for regular extensions considered by Hoshschild.

Affiliated with

Also associated with

No associations

Rating

Cohomology of Restricted Lie-Rinehart Algebras and the Brauer 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 Cohomology of Restricted Lie-Rinehart Algebras and the Brauer Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomology of Restricted Lie-Rinehart Algebras and the Brauer Group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-500714