3 citations · 15 across the 14 of their papers we have counts for
14 papers
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…
Homogeneous SK1 of simple graded algebras
R. Hazrat, A. R. Wadsworth
For a simple graded algebra A=M_n(E) over a graded division algebra E, a short exact sequence relating the reduced Whitehead group of the homogeneous part of A to that of E is esta…
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…