S. Tringali

activity

20122023

most citedPower monoids: A bridge between Factorization Theory and Arithmetic Combinatorics

56 citations · 322 across the 35 of their papers we have counts for

collaborators

Showing 2012Show all

4 papers · 1 filter

math.NT2012

On a system of equations with primes

Paolo Leonetti, Salvatore Tringali

Given an integer $n \geq 3$ , let $u_{1}, \dots, u_{n}$ be pairwise coprime integers $\geq 2$ , $D$ a family of nonempty proper subsets of ${1, \dots, n}$ with "enough" elemen…

math.CO2012★ 2 cited

A Cauchy-Davenport theorem for semigroups

Salvatore Tringali

We generalize the Davenport transform and use it to prove that, for a (possibly non-commutative) cancellative semigroup $A = (A, +)$ and non-empty subsets $X, Y$ of $A$ such…

math.CO2012★ 1 cited

Small doubling in ordered semigroups

Salvatore Tringali

Let $A = (A, \cdot)$ be a semigroup. We generalize some recent results by G. A. Freiman, M. Herzog and coauthors on the structure theory of set addition from the context o…

math.CT2012

A unified approach to the theory of normed structures - Part I: The single-sorted case

Salvatore Tringali

We introduce the concept of a prenormed model of a particular kind of finitary single-sorted first-order theories, interpreted over a category with finite products. These are refer…