Results 71 to 80 of about 576,514 (220)

Planar zero-divisor graphs [PDF]

, 2007
This paper answers the question of Anderson, Frazier, Lauve, and Livingston: for which finite commutative rings R is the zero-divisor graph Γ(R) planar? We build upon and extend work of Akbari, Maimani, and Yassemi, who proved that if R is any local ring
Chapman, Jeremy, Belshoff, Richard
core   +1 more source

Testing for Unspecified Periodicities in Binary Time Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT Given random variables Y1,…,Yn$$ {Y}_1,\dots, {Y}_n $$ with Yi∈{0,1}$$ {Y}_i\in \left\{0,1\right\} $$ we test the hypothesis whether the underlying success probabilities pi$$ {p}_i $$ are constant or whether they are periodic with an unspecified period length of r≥2$$ r\ge 2 $$.
Finn Schmidtke, Mathias Vetter
wiley   +1 more source

Group Action on the Set of Nonunits in Rings

Journal of Mathematics, 2023
Let R be a ring, G be the group of all units of R, and X=R−G∪0. In this paper, we investigate avxx∈X=oxx∈X for a ring R, where avx is the set of all vertices of the zero-divisor graph of R adjacent to x.
Eman S. Almotairi, M. Imran Bhat, Ahmad M. Alghamdi   +2 more
doaj   +1 more source

Structure and Computation

Noûs, EarlyView.
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

Zero-divisor graphs of lower dismantlable lattices II [PDF]

, 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, Vinayak Joshi, B. N. Waphare   +2 more
core   +1 more source

Adjacency spectra and Laplacian integrality of zero divisor graphs over some rings

Kuwait Journal of Science
Let 𝑅 be a commutative ring and let 𝑍∗ (𝑅) denote the set of non-zero zero divisors of 𝑅. The zero divisor graph 𝛤(𝑅) is defined as the simple graph with vertex set 𝑍∗ (𝑅), where two distinct vertices 𝑥, 𝑦 ∈ 𝑍∗ (𝑅) are adjacent if and only if 𝑥𝑦 = 0.
Bilal Ahmad Rather, Parvez Ali, M. Imran, A. Kothepeda   +3 more
doaj   +1 more source

On bipartite zero-divisor graphs

Discrete Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dancheng Lu, Tongsuo Wu
openaire   +1 more source

Panel Sequential Group Estimation of Interactive Effects Models

Oxford Bulletin of Economics and Statistics, EarlyView.
ABSTRACT This paper proposes a novel procedure to identify latent groups in the slopes of panel data models with interactive effects. The method is straightforward to apply and relies only on closed‐form estimators when evaluating the objective function.
Ignace De Vos, Joakim Westerlund
wiley   +1 more source

Five Point Zero Divisor Graphs [PDF]

, 2010
We study the zero divisor graphs, determined by equivalence classes of zero divisors of a ring R. with exactly five vertices. In particular, we determine which graphs with exactly five vertices can be realized as the zero divisor graph of a ring.
Levidiotis, Florida Victoria
core   +1 more source

THE ZERO DIVISOR IDEAL GRAPH OF THE RING ZN [PDF]

, 2020
In this paper we introduce the notion of Maxideal and Minideal zero divisor graphs of the maximal and minimal ideals of the ring Zn. We defined the Maxideal and Minideal zero divisor graphs of the ring Zn for any n, to be the zero divisor graph of ...
Nazar H Shuker, Payman A Rashed
core