L. van Wyk

activity

20112021

collaborators

4 papers

math.RA2021

Lie properties in associative algebras

Szilvia Homolya, Jeno Szigeti, Leon van Wyk +1

Let K be a field, then we exhibit two matrices in the full nxn matrix algebra M_{n}(K) which generate M_{n}(K) as a Lie K-algebra with the commutator Lie product. We also study Lie…

math.GR2018

Functions realising as abelian group automorphisms

B-E de Klerk, JH Meyer, J Szigeti +1

Let $A$ be a set and $f : A \to A$ a bijective function. Necessary and sufficient conditions on $f$ are determined which makes it possible to endow $A$ with a binary operation…

math.RA2011

Isomorphisms between Morita context rings

C. Boboc, S. Dascalescu, L. van Wyk

Let $(R, S,_{R} M_{S},_{S} N_{R}, f, g)$ be a general Morita context, and let $T=[{cc} R &_RM_S_SN_R & S]$ be the ring associated with this context. Similarly, le…

math.RA2011

The zero-level centralizer in endomorphism algebras

Jenő Szigeti, Leon van Wyk

For an endomorphism f\inEnd{M) of a left R-module M we investigate the structure and the polynomial identities of the zero-level centralizer Cen_0(f) and the factor Cen(f)/Cen_0(f)…