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- W2950803453 abstract "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 $Lin p$-$rm{LR}(A)$ and $M$ a Beck $L$-module. We classify restricted Lie-Rinehart extensions. Thus, we obtain a classification theorem for regular extensions considered by Hoshschild." @default.
- W2950803453 created "2019-06-27" @default.
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- W2950803453 date "2011-10-13" @default.
- W2950803453 modified "2023-09-25" @default.
- W2950803453 title "Cohomology of Restricted Lie-Rinehart Algebras and the Brauer Group" @default.
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