Abstract : 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
