Division Graded Algebras in the Brauer-Wall Group
Division Graded Algebras in the Brauer-Wall Group
Abstract We show that every element in the Brauer-Wall group of a field with characteristic different from 2 is represented uniquely by a division graded algebra, ( i.e. homogeneous elements are invertible) but, of course, not necessarily by a graded (division algebra). This is a fairly direct consequence of Wall's …