4 papers
math.RA2008
The centralizer of an element in an endomorphism ring
Jeno Szigeti, Leon van Wyk
We have results about the centralizer.
math.RA2007
Subrings which are closed with respect to taking the inverse
Jeno Szigeti, Leon van Wyk
Let S be a subring of the ring R. We investigate the question of whether S intersected by U(R) is equal to U(S) holds for the units. In many situations our answer is positive. Ther…
math.RA2007
Linear algebra in lattices, the Fitting lemma
Jeno Szigeti
Lattice theoretical generalizations of some classical linear algebra results are formulated. A vector space is replaced by its subspace lattice and a linear map is replaced by the…
math.RA2007
The Jordan normal base in lattices and nilpotent endomorphisms of finitely generated semisimple modules
Jeno Szigeti
We formulate a lattice theoretical Jordan normal form theorem for certain nilpotent lattice maps satisfying the so called JNB conditions. As an application of the general results,…