3 citations · 15 across the 14 of their papers we have counts for
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The group of graded and valued division algebras
Huynh Viet Khanh, Nguyen Duc Anh Khoa, Adrian R. Wadsworth
For a division algebra , let and let be the torsion subgroup of the abelian group . We study this torsion group for gr…
Locally PI but not PI Division Rings of Arbitrary GK-Dimension
J. C. McConnell, A. R. Wadsworth
We give examples of locally PI but not PI division rings of GK-dimension n for every positive integer n.
Galois subfields of tame division algebras
Timo Hanke, Danny Neftin, Adrian Wadsworth
We show that a finite-dimensional tame division algebra D over a Henselian field F has a maximal subfield Galois over F if and only if its residue division algebra has a maximal su…
Value Functions and Dubrovin Valuation Rings on Simple Algebras
Mauricio A. Ferreira, Adrian R. Wadsworth
In this paper we prove relationships between two generalizations of commutative valuation theory for noncommutative central simple algebras: (1) Dubrovin valuation rings; and (2) t…
Unitary SK_1 for a Graded Division Ring and its Quotient Division Ring
A. R. Wadsworth, V. I. Yanchevskii
Let E be a graded division ring finite-dimensional over its center with torsion-free abelian grade group, and let q(E) be its quotient division ring. Let tau be a degree-preserving…
Unitary SK_1 of semiramified graded and valued division algebras
A. R. Wadsworth
We prove formulas for the unitary SK_1 of a semiramified graded division algebra (or valued division algebra over a Henselian field) with a unitary involution. These formulas gener…