Results 61 to 70 of about 1,397,791 (213)

Multiplicative irreducibility of shifted multiplicative subgroups

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract In a recent breakthrough, Kalmynin resolved conjectures of Lev–Sonn and Sárközy on additive decompositions of multiplicative subgroups of prime fields. In this paper, inspired by a related conjecture of Sárközy, we prove multiplicative analogues of Kalmynin's results. We show that for every proper multiplicative subgroup G$G$, the shifted set (
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
wiley   +1 more source

On Reduced Zero-Divisor Graphs of Posets [PDF]

Journal of Discrete Mathematics, 2015
We study some properties of a graph which is constructed from the equivalence classes of nonzero zero-divisors determined by the annihilator ideals of a poset. In particular, we demonstrate how this graph helps in identifying the annihilator prime ideals of a poset that satisfies the ascending chain condition for its proper annihilator ideals.
Ashish Kumar Das, Deiborlang Nongsiang
openaire   +2 more sources

Converting an Integer to a Decimal String in Under Two Nanoseconds

Software: Practice and Experience, Volume 56, Issue 8, Page 963-977, August 2026.
ABSTRACT Objective Converting binary integers to variable‐length decimal strings is a fundamental operation in computing. Conventional fast approaches rely on recursive division and small lookup tables. The goal of this work is to develop a significantly faster method for this task.
Jaël Champagne Gareau, Daniel Lemire
wiley   +1 more source

Computing Wiener and Hyper-Wiener Indices of Zero-Divisor Graph of ℤℊ3×ℤI1I2

Journal of Function Spaces, 2022
Let S=ℤℊ3×ℤI1I2 be a commutative ring where ℊ,I1 and I2 are positive prime integers with I1≠I2. The zero-divisor graph assigned to S is an undirected graph, denoted as YS with vertex set V(Y(S)) consisting of all Zero-divisor of the ring S and for any c,
Yonghong Liu, Abdul Rauf, null AdnanAslam, Saira Ishaq, Abudulai Issa   +4 more
doaj   +1 more source

A generalisation of Cameron's base size conjecture

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract Let G⩽Sym(Ω)$G\leqslant {\rm Sym}(\Omega)$ be a finite transitive permutation group with point stabiliser H$H$. A base for G$G$ is a subset of Ω$\Omega$ whose pointwise stabiliser is trivial, and the minimal cardinality of a base is called the base size of G$G$, denoted by b(G,Ω)$b(G, \Omega)$. Equivalently, b(G,Ω)$b(G, \Omega)$ is the minimal
Marina Anagnostopoulou‐Merkouri
wiley   +1 more source

A Submodule-Based Zero Divisor Graph for Modules

, 2019
Let R be a commutative ring with identity and M be an R-module. The zero divisor graph of M is denoted by Gamma(M). In this study, we are going to generalize the zero divisor graph Gamma(M) to submodule-based zero divisor graph Gamma(M, N) by replacing ...
Payrovi, Shiroyeh, Sevim, Esra Sengelen, Babaei, Sakineh   +2 more
core   +2 more sources

Exploring the properties of the zero-divisor graph of direct product of $\ast$-rings [PDF]

Journal of Mahani Mathematical Research
In this paper, we delve into the study of zero-divisor graphs in rings equipped with an involution. Specifically, we focus on abelian Rickart $\ast$-rings.
Mohd Nazim, Nadeem Ur Rehman, Shabir Ahmad Mir   +2 more
doaj   +1 more source

Local Rings with Genus Two Zero Divisor Graph

, 2010
To each commutative ring R we can associate a graph, the zero divisor graph of R, whose vertices are the zero divisors of R, and such that two vertices are adjacent if their product is zero.
Bloomfield, Nathan, Nathan Bloomfield, Cameron Wickham, Wickham, Cameron   +3 more
core   +1 more source

On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
wiley   +1 more source

Fault-Tolerant Edge Metric Dimension of Zero-Divisor Graphs of Commutative Rings

Axioms
In recent years, the intersection of algebraic structures and graph-theoretic concepts has developed significant interest, particularly through the study of zero-divisor graphs derived from commutative rings.
Omaima Alshanquiti, Malkesh Singh, Vijay Kumar Bhat   +2 more
doaj   +1 more source