let $r$ be a commutative ring with identity and $m$ be a finitely generated unital $r$-module. in this paper, first we give necessary and sufficient conditions that a finitely generated module to be a multiplication module. moreover, we investigate some conditions which imply that the module $m$ is the direct sum of some cyclic modules and free modules. then some properties of fitting ideals of...

a module $m$ is called $emph{h}$-cofinitely supplemented if for every cofinite submodule $e$ (i.e. $m/e$ is finitely generated) of $m$ there exists a direct summand $d$ of $m$ such that $m = e + x$ holds if and only if $m = d + x$, for every submodule $x$ of $m$. in this paper we study factors, direct summands and direct sums of $emph{h}$-cofinitely supplemented modules. let $m$ be an $emph{h}$...

In this paper we defined the concept of module amenability of Banach algebras and module connes amenability of module dual Banach algebras.Also we assert the concept of module Arens regularity that is different with [1] and investigate the relation between module amenability of Banach algebras and connes module amenability of module second dual Banach algebras.In the following we studythe...

In Embedded and wireless communication systems, the use of DWT (Discrete Wavelet Transform) and FFT (Fast Fourier Transform) algorithms based modules has been significant. Of late, in a system if various module designs for distinct algorithms exist then the parameterization/reconfiguration techniques are becoming an effective implementation idea of research. And so, in this paper, parameterizat...

We present a class of subposets of the partition lattice 5n with the following property: The order complex is homotopy equivalent to the order complex of 5n−1, and the Sn-module structure of the homology coincides with a recently discovered lifting of the Sn−1-action on the homology of5n−1. This is the Whitehouse representation on Robinson’s space of fully-grown trees, and has also appeared in ...

this study involved 154 anesthetized patients requiring endotracheal intubation, in whom the epiglottis was visible but not lifted, which restricted the view of the glottis. a simple stylet was used to lift the epiglottis, thus improving the view of the glottis with the glide scope®, allowing tracheal tubes to be inserted into the patients. the stylet easily resolved the difficulty of lifting t...

A module M is said to belifting if, for anysubmodule N of M, there exists a direct summand X contained in such that N/X small M/X. satisfy the finite internal exchange propertyif, any and sum decomposition M=Lni=1Mi, M′i Mi (i= 1,2, . , n) M=X⊕(Lni=1M′i). In this paper, we first give characterizations forthe square hollow uniform be lifting (extending). addition, solve negatively question "Does...

Ten young male participants were recruited to test their maximum symmetric and asymmetric isoinertial lifting capabilities from floor to the knuckle height in different container dimensions varied in both width and length. The results showed that the order from the highest to lowest lifting capability for the lifting modes was symmetric lifting, asymmetric lifting with leg rotation and asymmetr...

Let S be an unramified regular local ring of mixed characteristic two and R the integral closure in a biquadratic extension its quotient field obtained by adjoining roots sufficiently general square free elements f,g?S. S2 denote subring lifting to image Frobenius map on S/2S. When at least one f,g?S2, we characterize Cohen-Macaulayness show that admits birational small Cohen-Macaulay module. I...