Results 61 to 70 of about 1,397,793 (213)
Commutative rings with ideal based zero divisor graph of orders 12,13 and 14 [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsAn recent years, several studies have emerged on the graphs for commutative rings. Researchers have investigated ideal based zero-divisor graphs linked to commutative rings, delving into the characteristics of these graphs.
Raad Shukur, Husam Mohammad
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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
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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 +4 more
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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
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 +2 more
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Exploring the properties of the zero-divisor graph of direct product of $\ast$-rings [PDF]
Journal of Mahani Mathematical ResearchIn 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 +2 more
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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
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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 +3 more
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Fault-Tolerant Edge Metric Dimension of Zero-Divisor Graphs of Commutative Rings
AxiomsIn 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 +2 more
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Mathematics, 2023 The field of mathematics that studies the relationship between algebraic structures and graphs is known as algebraic graph theory. It incorporates concepts from graph theory, which examines the characteristics and topology of graphs, with those from ...
Amal S. Alali +5 more
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