2 citations · 2 across the 2 of their papers we have counts for
9 papers
On the Nowicki Conjecture for the free Lie algebra of rank 2
Lucio Centrone, Sehmus Findik, Manuela da Silva Souza
Let K[X_n]=K[x_1,\ldots,x_n] be the polynomial algebra in n variables over a field K of characteristic zero. A locally nilpotent linear derivation δof K[X_n] is called Weitzenböck…
Almost prime ideals in noncommutative rings
Alaa Abouhalaka, Sehmus Findik
A proper ideal of a commutative ring with identity is an almost prime ideal if implies or . In this paper we define almost prime ide…
On Nowicki's conjecture: a survey and a new result
Lucio Centrone, Andre Dushimirimana, Sehmus Findik
The goal of the paper is twofold: it aims to give an extensive set of tools and bibliography towards Nowicki's conjecture both in an associative setting; it establishes a new resul…
Symmetric polynomials in the variety generated by Grassmann algebras
Nazan Akdogan, Sehmus Findik
Let denote the variety generated by infinite dimensional Grassmann algebras; i.e., the collection of all unitary associative algebras satisfying the identity $[[z_1,z…
Symmetric polynomials in Leibniz algebras and their inner automorphisms
Sehmus Findik, Zeynep Ozkurt
Let be the free metabelian Leibniz algebra generated by the set over a field of characteristic zero. This is the free algebra of rank in the…
Inner automorphisms of Lie algebras of symmetric polynomials
Sehmus Findik, Nazar Sahin Oguslu
Let be the free Lie algebra, be the free metabelian Lie algebra, and be the free metabelian nilpotent of class Lie algebra of rank generated by $x…