Results 61 to 70 of about 1,283,908 (223)
Zero-divisor graphs in commutative rings
, 2010 This article surveys the recent and active area of zero-divisor graphs of commutative rings. Notable algebraic and graphical results are given, followed by a historical overview and an extensive ...
Michael C. Axtell +5 more
core +2 more sources
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
doaj +1 more source
bk$b^k$‐Algebroids and the variety of foliation jets
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We introduce and classify singular foliations of bk+1$b^{k+1}$‐type, which formalize the properties of vector fields that are tangent to a submanifold W⊂M$W \subset M$ to order k$k$. When W$W$ is a hypersurface, these structures are Lie algebroids generalizing the bk+1$b^{k+1}$‐tangent bundles introduced by Scott.
Francis Bischoff +2 more
wiley +1 more source
An exploration of ideal-divisor graphs
, 2014 Zero-divisor graphs have given some interesting insights into the behavior of commutative rings. Redmond introduced a generalization of the zero-divisor graph called an ideal-divisor graph.
Williams, Tristan +7 more
core +1 more source
The Zero Divisor Graph of the Ring Zqp
Science 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 divisor graph SΓ(Zqp) is by removing an odd number of zero divisors.
Nazar H. Shuker, Payman A. Rashed
openaire +2 more sources
Characteristic‐free normalized Nash blowup of toric varieties
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We introduce conditions on cones of normal toric varieties under which the polyhedron defining the normalized Nash blowup does not depend on the characteristic of the base field. As a consequence, we deduce several results on the resolution of singularities properties of normalized Nash blowups.
Federico Castillo +3 more
wiley +1 more source
Zero-divisor graphs of lower dismantlable lattices II
, 2018 In this paper, we continue our study of the zero-divisor graphs of lower dismantlable lattices that was started in [PATIL, A.—WAPHARE, B. N.—JOSHI, V.—POURALI, H. Y.: Zero-divisor graphs of lower dismantlable lattices I, Math. Slovaca 67 (2017), 285–296].
Avinash Patil +2 more
core +1 more source
Noûs, Volume 60, Issue 3, Page 593-605, September 2026.ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
wiley +1 more source
Irreducible divisor graphs in commutative rings with zero divisors
, 2008 In their article “Irreducible Divisor Graphs”, Coykendall and Maney (2007) introduced the idea of irreducible divisor graphs of elements of a domain. We generalize this concept to commutative rings with zero divisors.
Stickles, Joe, Axtell, Michael
core +1 more source
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
wiley +1 more source