Results 91 to 100 of about 575,168 (177)

Characterizations of Three Classes of Zero-Divisor Graphs

, 2012
The zero-divisor graph Γ(R) of a commutative ring R is the graph whose vertices consist of the nonzero zero-divisors of R such that distinct vertices x and y are adjacent if and only if xy = 0.
John D. LaGrange
core   +1 more source

Automorphism groups of P1$\mathbb {P}^1$‐bundles over geometrically ruled surfaces

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We classify the pairs (X,π)$(X,\pi)$, where π:X→S$\pi \colon X\rightarrow S$ is a P1$\mathbb {P}^1$‐bundle over a non‐rational geometrically ruled surface S$S$ and Aut∘(X)$\mathrm{Aut}^\circ (X)$ is relatively maximal, that is, maximal with respect to the inclusion in the group Bir(X/S)$\mathrm{Bir}(X/S)$.
Pascal Fong
wiley   +1 more source

The Congruence-Based Zero-Divisor Graph

, 2015
Let R be a commutative ring with nonzero identity and ~ a multiplicative congruence relation on R. Then, R/~ is a semigroup with multiplication [x][y] = [xy], where [x] is the congruence class of an element x of R.
Lewis, Elizabeth Fowler
core  

On the canonical bundle formula in positive characteristic

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Let f:X→Z$f:X\to Z$ be a fibration from a normal projective variety X$X$ of dimension n$n$ onto a normal curve Z$Z$ over a perfect field of characteristic p>2$p>2$. Let (X,B)$(X,B)$ be a dlt pair such that the induced pair on a general fibre is log canonical.
Marta Benozzo
wiley   +1 more source

The k-Zero-Divisor Hypergraph of a Commutative Ring

International Journal of Mathematics and Mathematical Sciences, 2007
The concept of the zero-divisor graph of a commutative ring has been studied by many authors, and the k-zero-divisor hypergraph of a commutative ring is a nice abstraction of this concept.
Ch. Eslahchi, A. M. Rahimi
doaj   +1 more source

Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley   +1 more source

Planar zero-divisor graphs

, 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

Decomposition of Neutrosophic Zero-divisor graph [PDF]

Neutrosophic Sets and Systems
Evaluating student performance in university English translation courses is a complex process that requires a comprehensive assessment of multiple factors.
Balakrishnan A, Kanchana M, Said Broumi, Thirugnanasambandam K   +3 more
doaj   +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, Vinayak Joshi, B. N. Waphare   +2 more
core   +1 more source

Five Point Zero Divisor Graphs

, 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