Results 81 to 90 of about 88,527 (242)
When zero-divisor graphs are divisor graphs
Summary: Let \(R\) be a finite commutative principal ideal ring with unity. In this article, we prove that the zero-divisor graph \(\Gamma(R)\) is a divisor graph if and only if \(R\) is a local ring or it is a product of two local rings with at least one of them having diameter less than \(2\). We also prove that \(\Gamma(R)\) is a divisor graph.
Abu Osba, Emad, Alkam, Osama
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The DNA of Calabi–Yau Hypersurfaces
Abstract Genetic Algorithms are implemented for triangulations of four‐dimensional reflexive polytopes, which induce Calabi–Yau threefold hypersurfaces via Batyrev's construction. These algorithms are shown to efficiently optimize physical observables such as axion decay constants or axion–photon couplings in string theory compactifications.
Nate MacFadden +2 more
wiley +1 more source
A characterization of singular endomorphisms of a barrelled Pták space
The concept of topological divisor of zero has been extended to endomorphisms of a locally convex topological vector space (LCTVS). A characterization of singular endomorphisms, similar to that of Yood [1], is obtained for endomorphisms of a barrelled ...
Damir Franekić
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Zero-divisors of Semigroup Modules
Let $M$ be an $R$-module and $S$ a semigroup. Our goal is to discuss zero-divisors of the semigroup module $M[S]$. Particularly we show that if $M$ is an $R$-module and $S$ a commutative, cancellative and torsion-free monoid, then the $R[S]$-module $M[S]$ has few zero-divisors of degree $n$ if and only if the $R$-module $M$ has few zero-divisors of ...
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Stabilizing Inference in Dirichlet Regression via Ridge‐Penalized Model
ABSTRACT We propose a penalized Dirichlet regression framework for modeling compositional data, using a softmax link to ensure that the mean vector lies on the simplex and to avoid log‐ratio transformations or zero replacement. The model is formulated in a GLM‐like setting and incorporates an ℓ2$$ {\mathrm{\ell}}_2 $$ (ridge) penalty on the regression ...
Andrea Nigri
wiley +1 more source
Radio Number Associated with Zero Divisor Graph
Radio antennas use different frequency bands of Electromagnetic (EM) Spectrum for switching signals in the forms of radio waves. Regulatory authorities issue a unique number (unique identifying call sign) to each radio center, that must be used in all ...
Ali N. A. Koam, Ali Ahmad, Azeem Haider
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The weakly zero-divisor graph of a commutative ring [PDF]
M. J. Nikmehr +2 more
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Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution
Abstract We study the equivariant Kuznetsov component KuG(X)$\mathrm{Ku}_G(X)$ of a general cubic fourfold X$X$ with a symplectic involution. We show that KuG(X)$\mathrm{Ku}_G(X)$ is equivalent to the derived category Db(S)$D^b(S)$ of a K3$K3$ surface S$S$, where S$S$ is given as a component of the fixed locus of the induced symplectic action on the ...
Laure Flapan, Sarah Frei, Lisa Marquand
wiley +1 more source
Computing Wiener and Hyper-Wiener Indices of Zero-Divisor Graph of ℤℊ3×ℤI1I2
Let S=ℤℊ3×ℤI1I2 be a commutative ring where ℊ,I1 and I2 are positive prime integers with I1≠I2. The zero-divisor graph assigned to S is an undirected graph, denoted as YS with vertex set V(Y(S)) consisting of all Zero-divisor of the ring S and for any c,
Yonghong Liu +4 more
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The authors answer two questions about zero divisor graphs posed by \textit{S.~Akbari, H. R.~Maimani} and \textit{S.~Yassemi} [J. Algebra 270, No. 1, 169--180 (2003; Zbl 1032.13014)] and \textit{D.~Anderson, A.~Frazier, A.~Lauve} and \textit{S.~Livingston} [Lect. Notes Pure Appl. Math. 220, 61--72 (2001; Zbl 1035.13004)], respectively.
Belshoff, Richard, Chapman, Jeremy
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