3 papers
math.RA2018
The Nowicki Conjecture for relatively free algebras
Lucio Centrone, Sehmus Findik
A linear locally nilpotent derivation of the polynomial algebra in variables over a field of characteristic 0 is called a Weitzenböck derivation. It is well known…
math.RA2015
On the growth of graded polynomial identities of sl_n
Lucio Centrone, Manuela da Silva Souza
Let K be a field of characteristic 0 and L be a G-graded Lie PI-algebra, where G is a finite group. We define the graded Gelfand-Kirillov dimension of L. Then we measure the growth…
math.RA2012
Action of Pontryagin dual of semilattices grading algebras
Lucio Centrone
Let A be a unitary algebra and G be a finite abelian group. Then a G-graded algebra is merely a G-algebra and viceversa because of the fact that G and its group of characters G* ar…