2 citations · 5 across the 21 of their papers we have counts for
Showing 2015 · math.RAShow all
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math.RA2015
Which self-maps appear as lattice endomorphisms?
Jeno Szigeti
Let f be a self-map of the set A. We give a necessary and sufficient condition for the existence of a lattice structure on A such that f becomes a lattice endomorphism with respect…
math.RA2015
On Lie nilpotent rings and Cohen's Theorem
Jeno Szigeti, Leon van Wyk
We study certain (two-sided) nil ideals and nilpotent ideals in a Lie nilpotent ring R. Our results lead us to showing that the prime radical rad(R) of R comprises the nilpotent el…
math.RA2015
Integrality over fixed rings of automorphisms in a Lie nilpotent setting
Jeno Szigeti
Let R be a Lie nilpotent algebra of index k over a field K of characteristic zero. If G is an n-element subgroup of Aut(R) of the K-automorphisms, then we prove that R is right int…