1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.RA2024
A proof for a part of noncrossed product theorem
Mehran Motiee
The first examples of noncrossed product division algebras were given by Amitsur in 1972. His method is based on two basic steps: (1) If the universal division algebra is…
math.RA2024
A note on Amitsur's noncrossed product theorem
Mehran Motiee
In this note we give a short and elementary proof for a part of Amitsur's noncrossed product theorem. Our approach does not rely on well-known results of valuation theory. Instead,…
math.RA2013★ 1 cited
Multiplicative groups of division rings
R. Hazrat, M. Mahdavi-Hezavehi, M. Motiee
Exactly 170 years ago, the construction of the real quaternion algebra by William Hamilton was announced in the Proceedings of the Royal Irish Academy. It became the first example…