Zobrazeno 1 - 10
of 3 203
pro vyhledávání: '"Zero divisor graph"'
Autor:
Azimi, Y., Doustimehr, M. R.
Let $R$ and $S$ be commutative rings with identity, $f:R\to S$ a ring homomorphism and $J$ an ideal of $S$. Then the subring $R\bowtie^fJ:=\{(r,f(r)+j)\mid r\in R$ and $j\in J\}$ of $R\times S$ is called the amalgamation of $R$ with $S$ along $J$ wit
Externí odkaz:
http://arxiv.org/abs/2411.13457
Autor:
Pirzada, Shariefuddin1 pirzadasd@kashmiruniversity.ac.in, Altaf, Aaqib2 aaqibwaniwani777@gmail.com
Publikováno v:
Communications in Combinatorics & Optimization. Mar2025, Vol. 10 Issue 1, p195-206. 12p.
Autor:
Gadge, Pravin, Joshi, Vinayak
In this paper, the generalized blow-up of a Boolean lattice $L\cong \textbf{2}^n$ using finite chains is introduced. Also, we compute the strong metric dimension of the zero-divisor graph of the blow-up of a Boolean lattice. These results are applied
Externí odkaz:
http://arxiv.org/abs/2409.05146
In this paper, we study the strong zero-divisor graph of a p.q.-Baer $*$-ring. We determine the condition on a p.q.-Baer $*$-ring (in terms of the smallest central projection in a lattice of central projections of a $*$-ring), so that its strong zero
Externí odkaz:
http://arxiv.org/abs/2408.05949
Autor:
Alaoui, Brahim El, L'hamri, Raja
Let $R$ be a commutative ring and $I$ be an ideal of $R$. The amalgamated duplication of $R$ along $I$ is the subring $R\Join I:=\{(r,r+i)| r\in R, i\in I\}$ of $R\times R$. This paper investigates the extended zero-divisor graph of the amalgamated d
Externí odkaz:
http://arxiv.org/abs/2407.03022
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 21, Iss 3, Pp 302-309 (2024)
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 integ
Externí odkaz:
https://doaj.org/article/73f42b2bf66e4bd18889a67e51e8ceb5
Autor:
Annamalai, N.1 algebra.annamalai@gmail.com
Publikováno v:
Communications in Combinatorics & Optimization. Mar2025, Vol. 10 Issue 1, p151-163. 13p.
Autor:
Hwang, WonTae, Kyaw, Ei Thu Thu
We provide a construction of the induced subgraphs of the zero-divisor graph of $M_2(R)$ for the ring $R$ of algebraic integers of some number fields that are neither complete nor connected, and study the structure of the induced subgraphs explicitly
Externí odkaz:
http://arxiv.org/abs/2403.08349
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 21, Iss 2, Pp 111-119 (2024)
The Wiener index of a connected graph G is [Formula: see text]. In this paper, we obtain the Wiener index of H-generalized join of graphs [Formula: see text]. As a consequence, we obtain some earlier known results in [Alaeiyan et al. in Aust. J. Basi
Externí odkaz:
https://doaj.org/article/ce1668d46f4a44d790b2447f52f000f6