we investigate the problem of the existence of a frame forright ideals of a c*-algebra a, without the use of the kasparov stabilizationtheorem. we show that this property can not characterize a as a c*-algebraof compact operators.

the main objective of this study is to swing krull intersection theorem in primary decomposition of rings and modules to the primary decomposition of soft rings and soft modules. to fulfill this aim several notions like soft prime ideals, soft maximal ideals, soft primary ideals, and soft radical ideals are introduced for a soft ring over a given unitary commutative ring. consequently, the p...

The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. The shape...

In the present paper we construct all short representation of $so(3,2)$ with $sl(2,\mathbb{C})$ symmetry made manifest due to use spinors. This construction has a natural connection spinor-helicity formalism for massless fields in AdS${}_4$ suggested earlier. We then study unitarity resulting representations, identify them as lowest-weight modules and conformal three-dimensional Minkowski space...

The wireless industry trend toward higher integration and RF component miniaturization has been driving ongoing technology innovations, especially for substrate, interconnect, and packaging technologies. RF Systemin-Package (RF SiP) is one of those leading technology innovations. RF SiP is usually a sub-system unit, and it typically consists of multiple dies with or without passive components g...

The concepts of free modules, projective modules, injective modules and the likeform an important area in module theory. The notion of free fuzzy modules was introducedby Muganda as an extension of free modules in the fuzzy context. Zahedi and Ameriintroduced the concept of projective and injective L-modules. In this paper we give analternate definition for projective L-modules. We prove that e...