2 citations · 2 across the 7 of their papers we have counts for
7 papers
A power Cayley-Hamilton identity for nxn matrices over a Lie nilpotent ring of index k
Jeno Szigeti, Szilvia Szilagyi, Leon van Wyk
For an nxn matrix A over a Lie nilpotent ring R of index k, we prove that an invariant "power" Cayley-Hamilton identity of degree (n^2)2^{k-2} holds. The right coefficients are not…
A Constructive Elementary Proof of the Skolem-Noether Theorem for Matrix Algebras
Jeno Szigeti, Leon van Wyk
We give a constructive elementary proof for the fact that any K-automorphism of the full nxn matrix algebra over a field K is conjugation by some invertible nxn matrix A over K.
Isomorphisms between strongly triangular matrix rings
P. N. Anh, L. van Wyk
We describe isomorphisms between strongly triangular matrix rings that were defined earlier in Berkenmeier et al. (2000) as ones having a complete set of triangulating idempotents,…
A Cayley-Hamilton trace identity for 2 x 2 matrices over Lie-solvable rings
Johan Meyer, Jeno Szigeti, Leon van Wyk
We exhibit a Cayley-Hamilton trace identity for matrices with entries in a ring satisfying and 1/2 \in R$.
Centralizers in endomorphism rings
Vesselin Drensky, Jeno Szigeti, Leon van Wyk
We prove that the centralizer Cen(f) in Hom_R(M,M) of a nilpotent endomorphism f of a finitely generated semisimple left R-module M (over an arbitrary ring R) is the homomorphic im…
The centralizer of an element in an endomorphism ring
Jeno Szigeti, Leon van Wyk
We have results about the centralizer.