1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.RA2019
On Four-Dimensional Unital Division Algebras over Fields of Characteristic not 2
Ernst Dieterich
In [2], an exhaustive construction is achieved for the class of all 4-dimensional unital division algebras over finite fields of odd order, whose left nucleus is not minimal and wh…
math.RA2011
The double sign of a real division algebra of finite dimension greater than one
Erik Darpö, Ernst Dieterich
For any real division algebra A of finite dimension greater than one, the signs of the determinants of left multiplication and right multiplication by a non-zero element are shown…
math.RA2009★ 1 cited
The degree of an eight-dimensional real quadratic division algebra is 1, 3, or 5
Ernst Dieterich, Ryszard Rubinsztein
A celebrated theorem of Hopf, Bott, Milnor, and Kervaire states that every finite-dimensional real division algebra has dimension 1, 2, 4, or 8. While the real division algebras of…