Results 41 to 50 of about 11,161 (225)

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 Combinatorics
In 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, Peter J. Cameron, Vinayak Joshi   +2 more
doaj   +1 more source

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

Zero divisors and units with small supports in group algebras of torsion-free groups

, 2017
We associate a graph to a possible non-zero zero-divisor in the group algebra of a torsion-free group.Comment: to appear in Communications in Algebra.
Abdollahi, Alireza, Taheri, Zahra
core   +1 more source

Ring Classification of Ideal-Based Zero Divisor Graph with Vertices 9

Al-Kitab Journal for Pure Sciences
Let 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, Sahbaa A. Younus, Wafa Y. Yahya   +2 more
doaj   +1 more source

McCoy rings and zero-divisors

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

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

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

Mathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source