On the Brauer $p$-dimension of Henselian discrete valued fields of residual characteristic $p > 0$
| Autor: | Ivan D. Chipchakov |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
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| Popis: | Let $(K, v)$ be a Henselian discrete valued field with residue field $\widehat K$ of characteristic $p$, and Brd$_{p}(K)$ be the Brauer $p$-dimension of $K$. This paper shows that Brd$_{p}(K) \ge n$, if $[\widehat K\colon \widehat K ^{p}] = p ^{n}$, for some $n \in \mathbb{N}$. It proves that Brd$_{p}(K) = \infty $ if and only if $[\widehat K\colon \widehat K ^{p}] = \infty $. 26 pages, no figures. Final form: the content of the paper is the same as in the previous version; the titles of Sections 5 and 6 are changed because of the changes in the content of these sections, made in the previous version. To appear in J. Pure Appl. Algebra |
| Databáze: | OpenAIRE |
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