On the Brauer p-dimension of Henselian discrete valued fields of residual characteristic p > 0
نویسندگان
چکیده
Let $(K, v)$ be a Henselian discrete valued field with residue $\widehat K$ of characteristic $p$, and Brd$_{p}(K)$ the Brauer $p$-dimension $K$. 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 \infty $ only $.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2022
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2021.106948