Abstract:Abstract. Let E be a graded central division algebra (GCDA) over a grade field R. Let S be an unramified graded field extension of R. We describe the grading on the underlying GCDA E ′ of E ⊗ R S which is analogous to the valuation on a tame division algebra over Henselian valued field.Let D be a division algebra with a valuation. To this one associates a graded division algebra GD = γ∈ΓD GD γ , where Γ D is the value group of D and the summands GD γ arise from the filtration on D induced by the valuation (see… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.