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Finite-dimensional subalgebras of division rings
Israel Journal of Mathematics, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amitsur, S. A., Baum, D.
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Orthogonality preserving bijective maps on finite dimensional projective spaces over division rings
Linear and Multilinear Algebra, 2008 Let be a finite dimensional right vector space over a division ring 𝔽, equipped with a nondegenerate semi-sesquilinear inner product ⟨·,·⟩. Let D and E be bijective linear operators on . The operators D and E induce indefinite inner products on , by the formulas ⟨Dx,y⟩ and ⟨Ex,y ⟩, where .
Leiba Rodman, Peter Šemrl
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Triangularization over finite-dimensional division rings using the reduced trace
, 2016 In this paper we study triangularization of collections of matrices whose entries come from a finite-dimensional division ring. First, we give a generalization of Guralnick's theorem to the case of finite-dimensional division rings and then we show that in this case the reduced trace function is a suitable alternative for trace function by presenting ...
Hossein Momenaee Kermani
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