Article ID Journal Published Year Pages File Type
4666264 Advances in Mathematics 2012 20 Pages PDF
Abstract

We give an interpretation of the Brauer group of a purely inseparable extension of exponent 11, in terms of restricted Lie–Rinehart cohomology. In particular, we define and study the category pp-LR(A) of restricted Lie–Rinehart algebras over a commutative algebra AA. We define cotriple cohomology groups Hp-LR(L,M)Hp-LR(L,M) for L∈pL∈p-LR(A) and MM a Beck LL-module. We classify restricted Lie–Rinehart extensions. Thus, we obtain a classification theorem for regular extensions considered by Hochschild.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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