Results 51 to 60 of about 88,527 (242)
On the formal power series algebras generated by a vector space and a linear functional [PDF]
Journal of Hyperstructures, 2017 Let R be a vector space ( on C) and ϕ be an element of R∗ (the dual space of R), the product r · s = ϕ(r)s converts R into an associative algebra that we denote it by Rϕ.
A. R. Khoddami
doaj +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, EarlyView.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Component graphs of vector spaces and zero-divisor graphs of ordered sets
AKCE International Journal of Graphs and CombinatoricsIn this paper, nonzero component graphs and nonzero component union graphs of finite-dimensional vector spaces are studied using the zero-divisor graph of a specially constructed 0–1-distributive lattice and the zero-divisor graph of rings.
Nilesh Khandekar +2 more
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Reduced zero-divisor graphs of posets [PDF]
Transactions on Combinatorics, 2018 This paper investigates properties of the reduced zero-divisor graph of a poset. We show that a vertex is an annihilator prime ideal if and only if it is adjacent to all other annihilator prime ideals and there are always two annihilator prime ideals ...
Deiborlang Nongsiang, Promode Saikia
doaj +1 more source
Generalized Irreducible Divisor Graphs [PDF]
, 2013 In 1988, I. Beck introduced the notion of a zero-divisor graph of a commutative rings with $1$. There have been several generalizations in recent years. In particular, in 2007 J. Coykendall and J. Maney developed the irreducible divisor graph.
Mooney, Christopher Park
core
Ring Classification of Ideal-Based Zero Divisor Graph with Vertices 9
Al-Kitab Journal for Pure SciencesLet R be a finite commutative ring with a non-zero unit, and L be an ideal of R. focuses on expanding the notation of the Zero Divisor Graph to create what is known as the Ideal-Based Zero Divisor Graph. The main goal is to classify rings using the ideal-
Husam Q. Mohammad +2 more
doaj +1 more source
, 2012 We prove that a pair (X, D) with X Fano and D a smooth anti-canonical divisor is K-unstable for negative angles, and K-semistable for zero angle.Comment: 13 pages. Fixed typos.
Sun, Song
core +1 more source
Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Mathematische Nachrichten, EarlyView.Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source
The Zero Divisor Graph of the Ring Z_(2^2 p)
ARO-The Scientific Journal of Koya University, 2016 In this paper, we consider the crossing number and the chromatic number of the zero divisor graph Γ(Z_(2^2 p)) to show that this type of zero divisor graphs is bipartite graph, and the smallest cycle in Γ(Z_(2^2 p)) is of length four this implies that ...
Nazar H. Shuker, Payman A. Rashed
doaj +1 more source
Journal of Pure and Applied Algebra, 2008 Let \(R[x]\) be a polynomial ring over a ring \(R\). Then \(R\) is called a right McCoy (respectively left McCoy) ring if \(f(x)g(x)=0\) for each \(f(x),g(x)\neq 0\in R[x]\) implies that \((f(x))r=0\) for some \(r\neq 0\in R\) (respectively \(rg(x)=0\)), a McCoy ring is both left and right McCoy. The authors show some standard ring theoretic properties
Camillo, Victor, Nielsen, Pace P.
openaire +2 more sources