let $r$ be a commutative ring. we write $mbox{hom}(mu_a, nu_b)$ for the set of all fuzzy $r$-morphisms from $mu_a$ to $nu_b$, where $mu_a$ and $nu_b$ are two fuzzy $r$-modules. we make$mbox{hom}(mu_a, nu_b)$ into fuzzy $r$-module by redefining a function $alpha:mbox{hom}(mu_a, nu_b)longrightarrow [0,1]$. we study the properties of the functor $mbox{hom}(mu_a,-):frmbox{-mod}rightarrow frmbox{-mo...

let $a$ be a $c^*$-algebra and $e$ be a left hilbert $a$-module. in this paper we define a product on $e$ that making it into a banach algebra and show that under the certain conditions $e$  is arens regular. we also study the relationship between derivations of $a$ and $e$.

let r be a commutative ring with identity. let n and k be two submodules of a multiplication r-module m. thenn=im and k=jm for some ideals i and j of r. the product of n and k denoted by nk is defined by nk=ijm. inthis paper we characterize some particular cases of multiplication modules by using the product of submodules.

the largest class of algebraic hyper structures satisfying the module like axioms is the v h -module. in this paper, we consider the category of v h -modules and prove that the direct limit alwaysexists in this category. direct limits are defined by a universal property, and so are unique. the mostpowerful tool in order to obtain a module from a given v h - module is the quotient out procedure....

The authors have been developing a crack propagation analysis system that can deal with arbitrary shaped cracks in threedimensional solids. The system is consisting of mesh generation software, a large-scale finite element analysis program and a fracture mechanics module. To evaluate the stress intensity factors, a Virtual Crack Closure-Integral Method (VCCM) for the second-order tetrahedral fi...

FPGA fault repair schemes remove faulty elements from designs through reconfiguration. In designs with high FPGA utilization, a sufficient number of routable faultfree elements may not be available for permanent fault repair. We present a new permanent fault repair scheme, in which the original design is reconfigured into another fault tolerant design that has smaller area, so the damaged eleme...

In the study of Lie powers of a module V in prime characteristic p, a basic role is played by certain modules Bn introduced by Bryant and Schocker. The isomorphism types of the Bn are not fully understood, but these modules fall into infinite families {Bk,Bpk,Bp2k, . . .}, one family B(k) for each positive integer k not divisible by p, and there is a recursive formula for the modules within B(k...

In this paper authors have presented a power efficient scheme for implementing a spike sorting module. Spike sorting is an important application in the field of neural signal acquisition for implantable biomedical systems whose function is to map the Neural-spikes (N-spikes) correctly to the neurons from which it originates. The accurate classification is a pre-requisite for the succeeding syst...

This paper describes an automated electronic fully-digital bridge for the comparison of four-terminal-pair impedance standards in audio frequency range. The relative accuracy, which is on order 10 -6 , makes it suitable as a reference realization primary scales inductance and capacitance metrolo...