$r$-module. in this paper, we explore more properties of $max$-injective modules and we study some conditions under which the maximal spectrum of $m$ is a $max$-spectral space for its zariski topology.

$R$-module. In this paper, we explore more properties of $Max$-injective modules and we study some conditions under which the maximal spectrum of $M$ is a $Max$-spectral space for its Zariski topology.

Natural disasters may have considerable impact on society as well as on the (re-)insurance industry. Max-stable processes are ideally suited for the modelling of the spatial extent of such extreme events, but it is often assumed that there is no temporal dependence. Only a few papers have introduced spatiotemporal max-stable models, extending the Smith, Schlather and Brown–Resnick spatial proce...

in this paper, we introduce the dual notion of strongly top modules and study some of the basic properties of this class of modules.

This part describes the results obtained in the simulations and experiments reported in the previous sessions of this report. A) Statistical comparison of the principal component analysis in various spaces The cumulative contributions of the eigenvectors in each space are summarized for multiple-of-three numbers of eigenvectors in Tables I to III. Table I. Cumulative contribution of the eigenve...

We study matrices in the (Max; +) algebra. We introduce a new tool for describing the deterministic spectral behaviour of matrices of size 3 3. It consists in a graphical representation of eigenvectors and domains of attraction in the projective space. It appears to be very helpful in understanding some of the phenomena occurring in this algebra. Une Repr esentation Graphique pour les Matrices ...

let $r$ be an associative ring and let $m$ be a left $r$-module.let $spec_{r}(m)$ be the collection of all prime submodules of $m$ (equipped with classical zariski topology). there is a conjecture which says that every irreducible closed subset of $spec_{r}(m)$ has a generic point. in this article we give an affirmative answer to this conjecture and show that if $m$ has a noetherian spectrum, t...

IEEE 802.16e mobile WiMAX standard provides a promising technology for broadband wireless access. Owing to the limited bandwidth resource and increased data-rate requirement, some sort of mechanism is essential to achieve good spectral efficiency and to better manage the limited resources of bandwidth. Link adaptation technique helps in meeting out these demands and has now emerged as one of th...

In many applications of color technology such as spectral color reproduction it is of interest to represent the spectral data with lower dimensions than spectral space’s dimensions. It is more than half of a century that Principal Component Analysis PCA method has been applied to find the number of independent basis vectors of spectral dataset and representing spectral reflectance with lower di...