Results 61 to 70 of about 1,934 (215)
On the genus of graphs from commutative rings
Let be a commutative ring with non-zero identity. The cozero-divisor graph of , denoted by , is a graph with vertex-set , which is the set of all non-zero non-unit elements of , and two distinct vertices and in are adjacent if and only if and , where for
S. Kavitha, R. Kala
doaj +1 more source
Imbeddability of a commutative ring in a finite-dimensional ring
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Gilmer, Robert, Heinzer, William
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Multi‐Mode Deep Strong Coupling in a Multi Quantum Well Fabry–Perot Cavity
Multi‐mode deep‐strong coupling is demonstrated in a 166‐well heterostructure that acts as a Fabry–Perot cavity. Even cavity modes couple strongly to the cyclotron resonance, producing large vacuum Rabi splittings and a rich polaritonic spectrum captured by a full Hopfield model.
Lucy Hale +6 more
wiley +1 more source
Characterization and commuting probability of n-centralizer finite rings
Let R be a finite ring. The commuting probability of R is the probability that any two randomly chosen elements of R commute. A ring R is called an n-centralizer ring if it has n distinct centralizers. In this paper, we characterize some n-centralizer finite rings and compute their commuting probabilities.
Dutta, Jutirekha +2 more
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An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time
ABSTRACT We consider an implicit Runge–Kutta method for the numerical time integration of the nonstationary incompressible Navier–Stokes equations. This yields a sequence of nonlinear problems to be solved for the stages of the Runge–Kutta method. The resulting nonlinear system of differential equations is discretized using a finite element method.
Santolo Leveque +2 more
wiley +1 more source
Unit group of the ring of negacirculant matrices over finite commutative chain rings
Circulant matrices form an important class of matrices that have been continuously studied due to their nice algebraic structures and wide applications. In this study, we focus specifically on negacirculant matrices, which are known as extensions of the ...
Naksing Prarinya, Jitman Somphong
doaj +1 more source
A note on zero-divisor graph of amalgamated duplication of a ring along an ideal
Let be a commutative ring and be a non-zero ideal of . Let be the subring of consisting of the elements for and . In this paper we characterize all isomorphism classes of finite commutative rings with identity and ideal such that is planar.
A. Mallika, R. Kala
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The singularity category and duality for complete intersection groups
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source
Symplectic graphs over finite commutative rings
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Yotsanan Meemark, Thammanoon Puirod
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On the cohomology of finite‐dimensional nilpotent groups and lie rings
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley +1 more source

