UDC 519.17; 512.55
Let \(R\) be a commutative ring with identity \(1 \neq 0 ,\) and let \(Z(R)\) be the set of zero divisors of \(R.\) The zero divisor graph \(\Gamma(R)\) is defined as a simple graph with the set of vertices formed by nonzero divisors \(Z^{+}(R) = Z(R) \setminus \{0\}\) of the zero element of $R$ such...
B. Rather, P. Ali, Muhammed Imran et al.· Ukrains'kyi Matematychnyi Zh...· 0 citations
This article examines the homological invariants, including Castelnuovo-Mumford regularity, projective dimension, and Betti numbers, of the edge ideals associated with the power graphs of integer modulo groups. We characterize the edge ideals of power graphs of group
\mathbb{Z}_{n}
with 2-linear resolution and list...
B. Rather, Jian-Feng Wang· Filomat· 2 citations· ⚡1
We study the zero-divisor graph [Formula: see text] attached to a commutative ring R and an unfaithful R-module M, with vertices the nonzero zero-divisors of R modulo I = [Formula: see text] and adjacency defined by annihilation on M. Starting from [Moh’d and Ahmed, Extending the Anderson–Livingston zero-divisor graph...
B. Rather· Journal of Algebra and its A...· 0 citations
Topological indices can be used to characterize molecular topology. These are numerical measurements of a suggested molecule’s fundamental structural characteristics, derived from its molecular structure. This numerical value, which is derived from a chemical configuration, represents the important physical properties...
Jayavel Pooja, Venkatesan Muthukumaran, B. Rather et al.· Discrete Mathematics, Algori...· 0 citations
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