3 papers
math.RA2025
A Lie Bracket on the Space of (Right) Biderivations of a Lie Algebra
Alfonso Di Bartolo, Gianmarco La Rosa
Derivations extend the concept of differentiation from functions to algebraic structures as linear operators satisfying the Leibniz rule. In Lie algebras, derivations form a Lie al…
math.CO2008
Boolean 2-designs and the embedding of a 2-design in a group
Andrea Caggegi, Alfonso Di Bartolo, Giovanni Falcone
We try to embed a t-design in a finite commutative group in such a way that the sum of the k points of a block is zero. We can compute the number of blocks of the boolean 2-design…
math.NT2007
On the p-th root of a p-adic number
Alfonso Di Bartolo, Giovanni Falcone
We give a sufficient and necessary condition for a p-adic integer to have p-th root in the ring of p-adic integers. The same condition holds clearly for residues modulo p^k. We giv…