MMN-1726
Some ring theory from Jenő Szigeti
Abstract
The present overview concentrates on three areas of Szigetiís work. "Eulerian
polynomial identities" deals essentially with polynomials in several non-commuting
indeterminates corresponding to directed Eulerian graphs. "Lie nilpotent determi-
nant theory" adapts to the non-commutative case the classical concepts of determi-
nant, adjoint and characteristic polynomial to yield analogues of well known linear
algebra results, especially over Lie nilpotent rings. "Centralizers and zero-level
centralizers" is about some non-commutative extensions of theorems on centraliz-
ers and double centralizers in matrix algebras, with additional considerations of
two-sided annihilators.
We aim at a condensed but self contained presentation of a selection of results.
Vol. 16 (2015), No. 1, pp. 115-121