Results 51 to 60 of about 1,513 (227)

The Zero Divisor Graph of the Ring Zqp.

open access: yesScience Journal of University of Zakho, 2015
In this paper we construct a star zero divisor graph from the zero divisor graph of the ring Zqp. The star zero divisor graph is obtained by removing some vertices from the zero divisor graph Γ(Zqp), in different ways , but the best way to get star zero ...
Nazar H. Shuker, Payman A. Rashed
doaj  

On Normalized Laplacian Spectra of the Weakly Zero-Divisor Graph of the Ring ℤn

open access: yesMathematics, 2023
For a finite commutative ring R with identity 1≠0, the weakly zero-divisor graph of R denoted as WΓ(R) is a simple undirected graph having vertex set as a set of non-zero zero-divisors of R and two distinct vertices a and b are adjacent if and only if ...
Nazim, Nadeem Ur Rehman, Ahmad Alghamdi
doaj   +1 more source

A Graph-Theoretic Approach to Ring Analysis: Dominant Metric Dimensions in Zero-Divisor Graphs [PDF]

open access: green, 2023
Nasir Ali   +2 more
openalex   +1 more source

Where Mathematical Symbols Come From

open access: yesTopics in Cognitive Science, Volume 18, Issue 1, Page 169-186, January 2026.
Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley   +1 more source

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

open access: yesJournal 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   +2 more
doaj   +1 more source

Canonical forms of oriented matroids

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
wiley   +1 more source

On Reduced Zero-Divisor Graphs of Posets [PDF]

open access: yesJournal 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

An extension of the cogrowth formula to arbitrary subsets of the tree

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract What is the probability that a random walk in the free group ends in a proper power? Or in a primitive element? We present a formula that computes the exponential decay rate of the probability that a random walk on a regular tree ends in a given subset, in terms of the exponential decay rate of the analogous probability of the non‐backtracking
Doron Puder
wiley   +1 more source

The modular automorphisms of quotient modular curves

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
wiley   +1 more source

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