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

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Showing 2017 · math.NTShow all

2 papers · 2 filters

math.NT2017★ 27 cited

Structural properties of subadditive families with applications to factorization theory

Salvatore Tringali

Let $H$ be a multiplicatively written monoid. Given $k \in N^{+}$ , we denote by $U_{k}$ the set of all $ℓ \in N^{+}$ such that $a_{1} \dots a_{k} = b_{1} \dots b_{ℓ}$ for so…

math.NT2017★ 56 cited

Power monoids: A bridge between Factorization Theory and Arithmetic Combinatorics

Yushuang Fan, Salvatore Tringali

We extend a few fundamental aspects of the classical theory of non-unique factorization, as presented in Geroldinger and Halter-Koch's 2006 monograph on the subject, to a non-commu…