Results 91 to 100 of about 22,228 (202)

Efficient Homogenization of Multicomponent Metamaterials: Chiral Effects

physica status solidi (b), Volume 262, Issue 10, October 2025.
Cuticles of insects (upper left) may have Bouligand structures, piled and rotated anisotropic layers (upper right) that produce circularly polarized metallic iridescent reflections. A homogenization theory that allows the calculation of the macroscopic permittivity of arbitrary periodic metamaterials is developed and applied to the structures above ...
Wolf Luis Mochán, Andrea López‐Reyna, Guillermo P. Ortiz   +2 more
wiley   +1 more source

On Quadraticity of Linear Combinations of Two Essentially Cubic Matrices That Commute

Axioms
This work presents a complete and definitive characterization of all cases where every linear combination of two commuting essentially cubic matrices results in a quadratic matrix, thereby extending existing contributions in the literature. To facilitate
Tuğba Demirkol, İrem Gamze Ünlütürk
doaj   +1 more source

Quasipolar Subrings of 3 x 3 Matrix Rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
An element a of a ring R is called quasipolar provided that there exists an idempotent p ∈ R such that p ∈ comm2(a), a + p ∈ U (R) and ap ∈ Bqnil. A ring R is quasipolar in case every element in R is quasipolar.
Gurgun Orhan, Halicioglu Sait, Harmanci Abdullah   +2 more
doaj   +1 more source

The determinal rank idempotents of a matrix

Linear Algebra and its Applications, 1996
Let \({\mathbf M}_R\) be the category of finite matrices over a commutative ring \(R\) with 1. For \(A\in {\mathbf M}_R\) of determinantal rank \(r\) let \({\mathcal I}_r (A)\) be the ideal of \(R\) generated by the \(r\times r\) minors of \(A\). There exists a unique list \((e_1, \dots, e_t)\) of pairwise orthogonal idempotents of \(R\) that sum to 1 ...
openaire   +2 more sources

Idempotents and Units of Matrix Rings over Polynomial Rings

International Electronic Journal of Algebra, 2017
The aim of this paper is to study idempotents and units in certain matrix rings over polynomial rings. More precisely, the conditions under which an element in $M_2(\mathbb{Z}_p[x])$ for any prime $p$, an element in $M_2(\mathbb{Z}_{2p}[x])$ for any odd prime $p$, and an element in $M_2(\mathbb{Z}_{3p}[x])$ for any prime $p$ greater than 3 is an ...
KANWAR, Pramod, KHATKAR, Meenu, SHARMA, R. K.   +2 more
openaire   +3 more sources

From Coxeter higher-spin theories to strings and tensor models

Journal of High Energy Physics, 2018
A new class of higher-spin gauge theories associated with various Coxeter groups is proposed. The emphasize is on the B p -models. The cases of B 1 and its infinite graded-symmetric product sym (×B 1)∞ correspond to the usual higher-spin theory and its ...
M. A. Vasiliev
doaj   +1 more source

On the structure of the stochastic idempotent matrix space

Linear Algebra and its Applications, 1991
Let \(I_ r\) be the space of \(n\times n\) stochastic idempotent matrices of rank r, then it is proved that \(I_ r=\cup (\max imal\) \(P_ r\)- folds), where the \(P_ r\)-folds are homeomorphic to convex polytopes. Moreover, the space \(I_ r\) is triangulable.
Gonzalez, Raul Ernesto, Hartfiel, D.J.
openaire   +2 more sources

The Frobenius distances from projections to an idempotent matrix

Linear Algebra and its Applications
For each pair of matrices $A$ and $B$ with the same order, let $\|A-B\|_F$ denote their Frobenius distance. This paper deals mainly with the Frobenius distances from projections to an idempotent matrix. For every idempotent $Q\in \mathbb{C}^{n\times n}$, a projection $m(Q)$ called the matched projection can be induced.
Xiaoyi Tian, Qingxiang Xu, Chunhong Fu
openaire   +3 more sources

Idempotent graph of 2x2 matrix ring with involution

Gulf Journal of Mathematics
Let R=M_2(F), where F is a finite field. In this paper, we investigate the idempotent graph of a ring R denoted by I*(R). We demonstrate that I*(R) is disconnected, having the components either complete bipartite graphs or complete graphs. A characterization is obtained for the regularity of I*(R). We determine the adjacency and Laplacian spectrum, the
Lande, Anita, Khairnar, Anil
openaire   +2 more sources

Multiplicative structure of 2x2 tropical matrices

, 2009
We study the algebraic structure of the semigroup of all $2 \times 2$ tropical matrices under multiplication. Using ideas from tropical geometry, we give a complete description of Green's relations and the idempotents and maximal subgroups of this ...
Johnson, Marianne, Kambites, Mark
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