Geodesic
Division Graded Algebras in the Brauer-Wall Group
Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 21-24

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DOI

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 structure theory for central simple Z/2-graded algebras.
DOI : 10.4153/CMB-1996-003-2
Mots-clés : 13A20, graded algebra, division algebra, Brauer-Wall group 
Coghlan, Francis; Hoffman, Peter. Division Graded Algebras in the Brauer-Wall Group. Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 21-24. doi: 10.4153/CMB-1996-003-2
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