in this paper we study the module contractibility ofbanach algebras and characterize them in terms the conceptssplitting and admissibility of short exact sequences. also weinvestigate module contractibility of banach algebras with theconcept of the module diagonal.

In the definition of a crossed module $(T,G,rho)$, the actions of the group $T$ and $G$ on themselves are given by conjugation. In this paper, we consider these actions to be arbitrary and thus generalize the concept of ordinary crossed module. Therefore, we get the category ${bf GCM}$, of all generalized crossed modules and generalized crossed module morphisms between them, and investigate som...

in this paper we introduce two symmetric variants of amenability, symmetric module amenability and symmetric connes amenability. we determine symmetric module amenability and symmetric connes amenability of some concrete banach algebras. indeed, it is shown that $ell^1(s)$ is  a symmetric $ell^1(e)$-module amenable if and only if $s$ is amenable, where $s$ is an inverse semigroup with subsemigr...

We present a camerawork module for representing events in a virtual museum with a comic style. The module uses four basic camera shots, i.e., internal, external, apex, and group, to compose a shot sequence of two main events happening in a museum, i.e., move and stay. This module is fully implemented in a comic generation system we have been developing for summarizing user experiences in Second...

let $alpha$ be an endomorphism and $delta$ an $alpha$-derivationof a ring $r$.  in this paper we  study the relationship between an$r$-module $m_r$ and the  general polynomial module  $m[x]$ over theskew polynomial ring $r[x;alpha,delta]$. we introduce the notionsof skew-armendariz modules and skew quasi-armendariz modules whichare generalizations of $alpha$-armendariz modules and extend thecla...

Near-infrared (NIR) spectroscopy is widely used for the classification of materials and quantification their properties. Today, there a high demand extending use this technique to portable applications, eventually, integration with consumer appliances smartphones. To reach goal, overall size NIR sensor, its production cost, robustness, resistance vibrations are particular importance. This paper...

Photovoltaic modules in the urban environment are very often exposed to uneven illumination conditions. The electrical interconnection between solar cells a photovoltaic module limits power that can generate under partial shading In this article, we introduce PV is able dynamically reconfigure its minimise conduction and mismatch losses according irradiance distribution on surface. Using an acc...

Abstract Background To the best of our knowledge, manually production [ 177 Lu]Lu-FAPI radiopharmaceutical derivatives has been only described in literature. In this work, a fully-automated synthesis well designed for first time using commercially available module. addition to development an automated system with disposable cassette, quality control (QC) and stability studies were comprehensive...

Let $R$ be a commutative ring with identity and $M$ be an unitary $R$-module. The intersection graph of an $R$-module $M$, denoted by $Gamma(M)$, is a simple graph whose vertices are all non-trivial submodules of $M$ and two distinct vertices $N_1$ and $N_2$ are adjacent if and only if $N_1cap N_2neq 0$. In this article, we investigate the concept of a planar intersection graph and maximal subm...