MMN-1726

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

DOI: 10.18514/MMN.2015.1726

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