Commun. Korean Math. Soc. 2014; 29(1): 23-26
Printed January 31, 2014
https://doi.org/10.4134/CKMS.2014.29.1.23
Copyright © The Korean Mathematical Society.
Yoon Sung Hwang
Korea University
Let $\grE$ be a graded central division algebra (GCDA) over a grade field $\grR$. Let $\grS$ be an unramified graded field extension of $\grR$. We describe the grading on the underlying GCDA ${\grE}'$ of $\grE\otimes_{\grR} \grS$ which is analogous to the valuation on a tame division algebra over Henselian valued field.
Keywords: graded central division algebras, graded fields, unramified extension
MSC numbers: 16K20
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