Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Salvatore Tringali"'
Autor:
Laura Cossu, Salvatore Tringali
Publikováno v:
Journal of Algebra. 630:128-161
It has been recently observed that fundamental aspects of the classical theory of factorization can be greatly generalized by combining the languages of monoids and preorders. This has led to various theorems on the existence of certain factorization
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c763ec3aa9e89a6f40e4b3af289d3e27
https://doi.org/10.1016/j.jalgebra.2023.04.014
https://doi.org/10.1016/j.jalgebra.2023.04.014
Autor:
SALVATORE TRINGALI
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. :1-7
In a 1968 issue of the Proceedings, P. M. Cohn famously claimed that a commutative domain is atomic if and only if it satisfies the ascending chain condition on principal ideals (ACCP). Some years later, a counterexample was however provided by A. Gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::823b28ca5e84e1c6e37f4ac212094956
https://doi.org/10.1017/s0305004123000269
https://doi.org/10.1017/s0305004123000269
Autor:
Salvatore Tringali
Publikováno v:
Journal of Algebra. 602:352-380
We combine the language of monoids with the language of preorders so as to refine some fundamental aspects of the classical theory of factorization and prove an abstract factorization theorem with a variety of applications. In particular, we obtain a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::352a132dd9ba4947983b4d30910bda86
https://doi.org/10.1016/j.jalgebra.2022.03.023
https://doi.org/10.1016/j.jalgebra.2022.03.023
Autor:
Salvatore Tringali, Paolo Leonetti
Publikováno v:
The Ramanujan Journal. 57:275-289
An upper quasi-density on $\bf H$ (the integers or the non-negative integers) is a real-valued subadditive function $\mu^\ast$ defined on the whole power set of $\mathbf H$ such that $\mu^\ast(X) \le \mu^\ast({\bf H}) = 1$ and $\mu^\ast(k \cdot X + h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ceb81e87cafe39881816a215c89a3fb
https://doi.org/10.1007/s11139-020-00371-x
https://doi.org/10.1007/s11139-020-00371-x
Autor:
Paolo Leonetti, Salvatore Tringali
Recently introduced by the authors in [Proc. Edinb. Math. Soc. 60 (2020), 139-167], quasi-densities form a large family of real-valued functions partially defined on the power set of the integers that serve as a unifying framework for the study of ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd57e68ab42befda7e419edcca43a9cb
https://hdl.handle.net/11383/2142071
https://hdl.handle.net/11383/2142071
Autor:
Paolo Leonetti, Salvatore Tringali
Let $\mathcal{P}({\bf N})$ be the power set of ${\bf N}$. We say that a function $\mu^\ast: \mathcal{P}({\bf N}) \to \bf R$ is an upper density if, for all $X,Y\subseteq{\bf N}$ and $h, k\in{\bf N}^+$, the following hold: (F1) $\mu^\ast({\bf N}) = 1$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d590205591e9f909620f828e8e2199d
https://hdl.handle.net/11383/2142075
https://hdl.handle.net/11383/2142075
Autor:
Paolo Leonetti, Salvatore Tringali
Publikováno v:
Journal of Number Theory. 186:226-237
Given $k, \ell \in {\bf N}^+$, let $x_{i,j}$ be, for $1 \le i \le k$ and $0 \le j \le \ell$, some fixed integers, and define, for every $n \in {\bf N}^+$, $s_n := \sum_{i=1}^k \prod_{j=0}^\ell x_{i,j}^{n^j}$. We prove that the following are equivalen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b65afad41ba5769bdaf93c84047bc40e
https://doi.org/10.1016/j.jnt.2017.10.002
https://doi.org/10.1016/j.jnt.2017.10.002
Primary and strongly primary monoids and domains play a central role in the ideal and factorization theory of commutative monoids and domains. It is well-known that primary monoids satisfying the ascending chain condition on divisorial ideals (e.g.,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9aa7c5b35678cabbac55a95f91ccaf4f
http://arxiv.org/abs/1910.10270
http://arxiv.org/abs/1910.10270
Let $H$ be a transfer Krull monoid over a subset $G_0$ of an abelian group $G$ with finite exponent. Then every non-unit $a\in H$ can be written as a finite product of atoms, say $a=u_1 \cdot \ldots \cdot u_k$. The set $\mathsf L(a)$ of all possible
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff5ba4185bfe882fdb525d556f2ab00c
We introduce the sequence of generalized Goncarov polynomials, which is a basis for the solutions to the Goncarov interpolation problem with respect to a delta operator. Explicitly, a generalized Goncarov basis is a sequence $(t_n(x))_{n \ge 0}$ of p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f71e332e87d376fd6acf71552fa45e9
https://doi.org/10.1017/9781316650295.005
https://doi.org/10.1017/9781316650295.005