Results 91 to 100 of about 22,120 (235)

Hosoya and Wiener Index of Zero-Divisor Graph of Z pm q2

Zanco Journal of Pure and Applied Sciences, 2019
In this work, we study zero-divisor graph of the ring Zpmq2 and give some properties of this graph. Furthermore we find Hosoya polynomial and Wiener index for this graph.
Nazar H. Shuker, Husam Q. Mohammad, Luma A. Khaleel   +2 more
doaj   +1 more source

Relationships Between Mechanical Behavior and Structure/Properties for Macroscopically Homogeneous Porous Composites Containing Randomly Shaped Filler

Journal of Applied Polymer Science, Volume 142, Issue 10, March 10, 2025.
The main contribution is the fitting for values of mechanical properties of the porous composite samples by an appropriate linear function containing displacement and slope as matrix property value and then suitable structural parameters multiplied by fitting parameters.
Miroslav Černý, Přemysl Menčík
wiley   +1 more source

Perfect zero-divisor graphs

Discrete Mathematics, 2017
In this article, we characterize various algebraic and order structures whose zero-divisor graphs are perfect graphs. We strengthen the result of Chenź(2003, Theorem 2.5) by providing a simpler proof of Beck's conjecture for the class of finite reduced rings (not necessarily commutative).
Avinash Patil, B.N. Waphare, Vinayak Joshi   +2 more
openaire   +2 more sources

Affine Non‐Reductive GIT and moduli of representations of quivers with multiplicities

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We give an explicit approach to quotienting affine varieties by linear actions of linear algebraic groups with graded unipotent radical, using results from projective Non‐Reductive GIT. Our quotients come with explicit projective completions, whose boundaries we interpret in terms of the original action.
Eloise Hamilton, Victoria Hoskins, Joshua Jackson   +2 more
wiley   +1 more source

Rigidity of quantum algebras

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
wiley   +1 more source

On the domination and signed domination numbers of zero-divisor graph

Electronic Journal of Graph Theory and Applications, 2016
Let $R$ be a commutative ring (with 1) and let $Z(R)$ be its set of zero-divisors. The zero-divisor graph $\Gamma(R)$ has vertex set $Z^*(R)=Z(R) \setminus \lbrace0 \rbrace$ and for distinct $x,y \in Z^*(R)$, the vertices $x$ and $y$ are adjacent if and ...
Ebrahim Vatandoost, Fatemeh Ramezani
doaj   +1 more source

On the zero-divisor graph of a commutative ring

Journal of Algebra, 2004
AbstractLet R be a commutative ring and Γ(R) be its zero-divisor graph. In this paper it is shown that for any finite commutative ring R, the edge chromatic number of Γ(R) is equal to the maximum degree of Γ(R), unless Γ(R) is a complete graph of odd order. In [D.F. Anderson, A. Frazier, A. Lauve, P.S.
Saieed Akbari, A. Mohammadian
openaire   +2 more sources

Groups with exotic finiteness properties from complex Morse theory

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract Recent constructions have shown that interesting behaviours can be observed in the finiteness properties of Kähler groups and their subgroups. In this work, we push this further and exhibit, for each integer k$k$, new hyperbolic groups admitting surjective homomorphisms to Z${\mathbb {Z}}$ and to Z2${\mathbb {Z}}^{2}$, whose kernel is of type ...
Claudio Llosa Isenrich, Pierre Py
wiley   +1 more source

Zero-divisor graphs of Catalan monoid

Hacettepe Journal of Mathematics and Statistics, 2021
Let $\mathcal C_{n}$ be the Catalan monoid on $X_{n}=\{1,\ldots ,n\}$ under its natural order. In this paper, we describe the sets of left zero-divisors, right zero-divisors and two sided zero-divisors of $\mathcal C_{n}$; and their numbers. For $n \geq 4$, we define an undirected graph $\Gamma(\mathcal C_{n})$ associated with $\mathcal C_{n}$ whose ...
openaire   +4 more sources

On endomorphism-regularity of zero-divisor graphs

Discrete Mathematics, 2008
AbstractThe paper studies the following question: Given a ring R, when does the zero-divisor graph Γ(R) have a regular endomorphism monoid? We prove if R contains at least one nontrivial idempotent, then Γ(R) has a regular endomorphism monoid if and only if R is isomorphic to one of the following rings: Z2×Z2×Z2; Z2×Z4; Z2×(Z2[x]/(x2)); F1×F2, where F1,
Tongsuo Wu, Dancheng Lu
openaire   +2 more sources