Zobrazeno 1 - 10
of 14 561
pro vyhledávání: '"zero-divisor"'
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:
Kumar, Ravindra, Prakash, Om
For a graph $G= (V, E)$, a Roman dominating function is a map $f : V \rightarrow \{0, 1, 2\}$ satisfies the property that if $f(v) = 0$, then $v$ must have adjacent to at least one vertex $u$ such that $f(u)= 2$. The weight of a Roman dominating func
Externí odkaz:
http://arxiv.org/abs/2412.07510
Autor:
Dung, Le Xuan, Vu, Thanh
We associate a sequence of positive integers, termed the type sequence, with a cochordal graph. Using this type sequence, we compute all graded Betti numbers of its edge ideal. We then classify all positive integer $n$ such that the zero divisor grap
Externí odkaz:
http://arxiv.org/abs/2411.05251
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:
Ali, Nasir1 (AUTHOR) nasirzawar@gmail.com, Siddiqui, Hafiz Muhammad Afzal1 (AUTHOR) hmasiddiqui@gmail.com, Qureshi, Muhammad Imran2 (AUTHOR) imranqureshi18@gmail.com, Abdallah, Suhad Ali Osman3 (AUTHOR) sabdallah@kku.edu.sa, Almahri, Albandary4 (AUTHOR) a.almahri@psau.edu.sa, Asad, Jihad5 (AUTHOR) j.asad@ptuk.edu.ps, Akgül, Ali6,7 (AUTHOR) j.asad@ptuk.edu.ps
Publikováno v:
Symmetry (20738994). Jul2024, Vol. 16 Issue 7, p930. 10p.
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
In this work, we study the eccentricity spectra of zero divisor graphs (ZDGs) associated with the ring $\mathbb{Z}_n.$ While previous studies have examined the Laplacian and distance Laplacian spectra of ZDGs, the eccentricity spectra have remained l
Externí odkaz:
http://arxiv.org/abs/2409.13186
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