Results 51 to 60 of about 1,283,908 (223)
Unexpected Primes of Good Reduction in Quotients of Modular and Shimura Curves
Mathematische Nachrichten, EarlyView.ABSTRACT We find all zero‐dimensional spaces of newforms of weight 2 and squarefree level N$N$ with a fixed Atkin–Lehner sign pattern. As an application, we classify unexpected primes of good reduction of Atkin–Lehner quotients of modular and Shimura curves of squarefree levels.
Oana Padurariu +2 more
wiley +1 more source
Component graphs of vector spaces and zero-divisor graphs of ordered sets [PDF]
, 2022 In this paper, nonzero component graphs and nonzero component union graphs of finite dimensional vector space are studied using the zero-divisor graph of specially constructed 0-1-distributive lattice and the zero-divisor graph of rings.
Khandekar, Nilesh +2 more
core
The Zero-Divisor Graphs of Variation Monogenic Semigroups
Scientific Journal of King Faisal University: Basic and Applied Sciences, 2020 The undirected graph Γ(〖VS〗_Mn) is the zero-divisor graph of the monogenic semigroup SM with zero. The non-zero vertices xi and xj of this graph are adjacent whenever i + j > n and gcd(i,j)=1, where n is the order of Γ(〖VS〗_Mn).
Bana Jawid Al Subaiei +1 more
doaj +1 more source
The Zero-Divisor Graph of a Commutative Ring
Journal of Algebra, 1999 The authors study properties of the graph \(\Gamma(R)\) of a commuting ring \(R\) (with \(1\)) defined on the set of nonzero zero-divisors with adjacency relation \((x,y)\in E\) if \(xy= 0\) noting that the class of such graphs is strongly restricted by the (commutative) ring properties of \(R\).
Anderson, David F. +1 more
openaire +1 more source
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Topological Indices of Total Graph and Zero Divisor Graph of Commutative Ring: A Polynomial Approach
Complexity, 2023 The algebraic polynomial plays a significant role in mathematical chemistry to compute the exact expressions of distance-based, degree-distance-based, and degree-based topological indices.
Sourav Mondal +3 more
doaj +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
A tropical version of Martens' theorem for metric graphs
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We study the conjecture stated by Jensen and Len on a tropical version on Martens' theorem via the Brill–Noether rank of a tropical curve. We recall Coppens' counterexample of Martens‐special chain of cycles, and we generalize the construction defining another class of graphs, Martens‐special trees of cycles, for which the conjecture does not ...
Giusi Capobianco, Angelina Zheng
wiley +1 more source
Sombor index of zero-divisor graphs of commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper, we investigate the Sombor index of the zero-divisor graph of ℤn which is denoted by Γ(ℤn) for n ∈ {pα, pq, p2q, pqr} where p, q and r are distinct prime numbers. Moreover, we introduce an algorithm which calculates the Sombor index of Γ(ℤn)
Gürsoy Arif +2 more
doaj +1 more source
On the maximum likelihood degree of Gaussian graphical models
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract In this paper we revisit the likelihood geometry of Gaussian graphical models. We give a detailed proof that the ML‐degree behaves monotonically on induced subgraphs. Furthermore, we complete a missing argument that the ML‐degree of the nth$n{\rm th}$ cycle is larger than 1 for any n⩾4$n\geqslant 4$, therefore completing the characterization ...
Carlos Améndola +3 more
wiley +1 more source