An R-module is called semi-endosimple if it has no proper fully invariant essential submodules. For a quasi-projective retractable module MR we show that M is finitely generated semi-endosimple if and only if the endomorphism ring of M is a finite direct sum of simple rings. For an arbitrary module M , conditions equivalent to the semi-endosimplicity of its quasi-injective hull are found. As co...

All rings are commutative with identity and all modules are unitary. In this note we give some properties of a finite collection of submodules such that the sum of any two distinct members is multiplication, generalizing those which characterize arithmetical rings. Using these properties we are able to give a concise proof of Patrick Smith’s theorem stating conditions ensuring that the sum and ...

The concept of an algebraic module originated with Alperin [1]. It can be thought of as an attempt to distinguish those modules whose tensor powers are ‘nice’ from those whose tensor powers are ‘uncontrollable’. Define a module to be algebraic if it satisfies a polynomial with integer coefficients in the Green ring. This is equivalent to the statement that for a module M there is a finite list ...

This paper presents a high speed and area efficient DWT processor VLSI based design for Image Compression applications. In this proposed design, pipelined partially serial architecture has been used to enhance the speed along with optimal utilization and resources available on the target FPGA. The architecture consists of two row processors, two column processors, and two memory modules. Each p...

Many existing works related to lossy-to-lossless image compression are based on the lifting concept. In this paper, we present a sparse optimization technique based on recent convex algorithms and applied to the prediction filters of a two-dimensional non separable lifting structure. The idea consists of designing these filters, at each resolution level, by minimizing the sum of the l1-norm of ...

There are two ways to introduce the notion of frequency response for sampled-data systems. One is based on the so-called lifting, and the other based on an interpretation of steady-state response in terms of impulse modulation. This paper proves the equivalence of these two notions; in particular, it establishes a more direct link of the second approach to the H” norm, and also provides the fir...

In this paper, we present a method for fast liftingbased simulations of continuous-time (CT) Sigma Delta (Σ∆) modulators with arbitrary input signal waveforms. Our approach allows for a very time-efficient simulation of important modulator parameters such as inter-modulation distortion, the response to a spread spectrum input or blocker signals, and evaluation of its signal transfer function. T...

We study the projective linear group PGL2(A) associated with an arbitrary algebra A, and its subgroups from the point of view of their action on the space of involutions in A. This action formally resembles Möbius transformations known from complex geometry. By specifying A to be an algebra of bounded operators in a Hilbert space H, we rediscover the Möbius group μev(M) defined by Connes and st...

We study the projective linear group PGL 2 (A) associated with an arbitrary algebra A and its subgroups from the point of view of their action on the space of involutions in A. This action formally resembles M obius transformations known from complex geometry. By specifying A to be an algebra of bounded operators in a Hilbert space H, we rediscover the Mobius group ev (M) de ned by Connes and...

Nursing schools in the United States have not been teaching evidence-based practices for safe patient handling, putting their graduates at risk for musculoskeletal disorders (MSDs). The specific aim of this study was to translate research related to safe patient handling into the curricula of nursing schools and evaluate the impact on nurse educators and students' intentions to use safe patient...