in this paper, we generalize some results from hilbert c*-modules to pro-c*-algebra case. we also give a new proof of the known result that l2(a) is ahilbert module over a pro-c*-algebra a.

We describe a Matlab-based, interactive, selfcontained, graphics-oriented code to process shearwave splitting data from microearthquakes in order to image the fractured subsurface in geothermal reservoirs. The code consists of three main modules: 1) data processing, 2) forward modeling, and 3) inverse modeling. The first module allows for rapid and precise measurement of fast S-wave polarizatio...

Let G be a compact Lie group, let RG be a commutative algebra over the sphere G-spectrum SG, and let R be its underlying nonequivariant algebra over the sphere spectrum S. When RG is split as an algebra, as holds for example for RG = MUG, we show how to “extend scalars” to construct a split RG-module MG = RG ∧R M from an R-module M . We also show how to compute the coefficients MG ∗ in terms of...

We have designed a novel Event-Condition-Action (ECA) scheme based Ad hoc On-demand Distance Vector(ECA-AODV) routing protocol for a Ubiquitous Network (UbiNet). ECA-AODV is designed to make routing decision dynamically and quicker response to dynamic network conditions as and when event occur. ECA scheme essentially consists of three modules to make runtime routing decision quicker. First, eve...

The multiplicative inversion operation is a fundamental computation in several cryptographic applications. In this work, we propose a scalable VLSI hardware to compute the Montgomery modular inverse in GF(p). We suggest a new correction phase for a previously proposed almost Montgomery inverse algorithm to calculate the inversion in hardware. We also propose an efficient hardware algorithm to c...

An iterative algorithm is introduced to solve the split common fixed point problems for asymptotically quasi-nonexpansive mappings in Hilbert spaces. The strong and weak convergence of the presented algorithm to some split common fixed point are obtained. The results presented in this paper improve and extend some recent results of Moudafi [Nonlinear Anal. 74 (2011), 4083-4087], Xu [Inverse Pro...

Let S be a skewfield. If J and / ' are submodules of 2 such that the nonzero elements of J are the inverse elements of those of J , then J and J' form a "pair of inverse modules." A module admitting an inverse module will be called a /-module and a selfinverse module containing 1 will be called an 5-module. In an earlier paper the author has shown that if S is a (commutative) field of character...

‎Let $S$ be an inverse semigroup with the set of idempotents $E$‎. We prove that the semigroup algebra $ell^{1}(S)$ is always‎ ‎$2n$-weakly module amenable as an $ell^{1}(E)$-module‎, ‎for any‎ ‎$nin mathbb{N}$‎, ‎where $E$ acts on $S$ trivially from the left‎ ‎and by multiplication from the right‎. ‎Our proof is based on a common fixed point property for semigroups‎.