Hochschild dimension of a separably generated field
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- by B. L. Osofsky PDF
- Proc. Amer. Math. Soc. 41 (1973), 24-30 Request permission
Abstract:
Let $K$ be an ${\aleph _k}$-generated field extension of the field $F$ with transcendence degree $n$. Set $\operatorname {bidim}(K)$ = the projective dimension of $K$ as a $K{ \otimes _F}K$-module. Then $K$ locally separably generated implies $\operatorname {bidim}(K) \leqq k + n + 1$, and $K$ separably generated implies $\operatorname {bidim}(K) = k + n + 1$.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 24-30
- MSC: Primary 13C15
- DOI: https://doi.org/10.1090/S0002-9939-1973-0318129-9
- MathSciNet review: 0318129