Results 111 to 120 of about 830,410 (239)

The Szeged Index and Padmakar-Ivan Index on the Zero-Divisor Graph of a Commutative Ring

Contemporary Mathematics and Applications (ConMathA)
The zero-divisor graph of a commutative ring is a graph where the vertices represent the zero-divisors of the ring, and two distinct vertices are connected if their product equals zero.
Jinan Ambar, I Gede Adhitya Wisnu Wardhana, Abdurahim   +2 more
doaj   +1 more source

Structure and Computation

Noûs, Volume 60, Issue 3, Page 593-605, September 2026.
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

Singularity of non‐pluripolar cohomology classes

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We establish a relation between Lelong numbers and the full mass property of relative non‐pluripolar products. We use this relation to prove that if the restricted volume of a big class α$\alpha$ along an effective divisor D$D$ has full mass, then the Lelong numbers of the non‐pluripolar class ⟨αn−1⟩$\langle \alpha ^{n-1}\rangle$ at every ...
Duc‐Bao Nguyen, Shuang Su, Duc‐Viet Vu   +2 more
wiley   +1 more source

Refinements on higher order Weil–Oesterlé bounds via a Serre type argument

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract Weil's theorem gives the most standard bound on the maximum number of points Nq(g)$N_q(g)$ of a curve of genus g$g$ over a finite field Fq$\mathbb {F}_q$. This bound was improved by Ihara and Oesterlé for larger genus. A recent point of view allows one to recover these bounds by solving a sequence of semi‐definite programs, and the first two ...
Emmanuel Hallouin, Philippe Moustrou, Marc Perret   +2 more
wiley   +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

Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi, Sergey Shadrin, Ishan Jaztar Singh   +2 more
wiley   +1 more source

The probability of generating finite and profinite groups

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Famously, every finite simple group G$G$ can be generated by a pair of elements. Moreover, Liebeck and Shalev (1995) proved that the probability that a pair of elements generate G$G$ tends to 1 as |G|→∞$|G| \rightarrow \infty$. In this paper, we generalize this theorem of Liebeck and Shalev. Work of Lucchini and Menegazzo (1997) implies that a
Scott Harper, Martyn Quick
wiley   +1 more source

Randić spectrum of the weakly zero-divisor graph of the ring ℤn

AKCE International Journal of Graphs and Combinatorics
In this article, we find the Randić spectrum of the weakly zero-divisor graph of a finite commutative ring [Formula: see text] with identity [Formula: see text], denoted as [Formula: see text], where [Formula: see text] is taken as the ring of integers ...
Nadeem Ur Rehman, Nazim, Ahmad M. Alghamdi, Eman S. Almotairi   +3 more
doaj   +1 more source

On zero divisor graph of unique product monoid rings over Noetherian reversible ring [PDF]

Categories and General Algebraic Structures with Applications, 2016
Let $R$ be an associative ring with identity and $Z^*(R)$ be its set of non-zero zero divisors.  The zero-divisor graph of $R$, denoted by $Gamma(R)$, is the graph whose vertices are the non-zero  zero-divisors of  $R$, and two distinct vertices $r$ and $
Ebrahim Hashemi, Abdollah Alhevaz, Eshag Yoonesian   +2 more
doaj  

Analytic versions of the zero divisor conjecture

, 2006
One of the most famous and frustrating problems in algebra is the zero divisor conjecture. In this work we study some analytical versions of this conjecture.
Puls, Michael
core