In the present paper for two $mathfrak{A}$-module Banach algebras $A$ and $B$, we investigate relations between $varphi$-$mathfrak{A}$-module approximate amenability of $A$, $psi$-$mathfrak{A}$-module approximate amenability of $B$, and $varphioplus psi$-$mathfrak{A}$-module approximate amenability of $Aoplus B$ ($l^1$-direct sum of $A$ and $B$), where $varphiin$ Hom$_{mathfrak{A}}(A)$ and $psi...

For a triple (G,A, κ) (where G is a group, A is a G-module and κ : G → A is a 3-cocycle) and a G-module B we introduce a new cohomology theory 2Hn(G,A, κ;B) which we call the secondary cohomology. We give a construction that associates to a pointed topological space (X, x0) an invariant 2κ 4 ∈ 2H (π1(X), π2(X), κ; π3(X)). This construction can be seen a “3type” generalization of the classical k...

We provide a new algebraic description of the structure on the set of all unstable cohomology operations for a suitable generalised cohomology theory, E(−). Our description is as a graded and completed version of a Tall-Wraith monoid. The E-cohomology of a space X is a module for this Tall-Wraith monoid. We also show that the corresponding Hopf ring of unstable co-operations is a module for the...

Interactive multimedia module with pedagogical agent (IMMPA) named EC Lab was developed in order to assist students in the learning of Electrochemistry topic. A non-equivalent pre-test post-test control group design investigation was carried out in order to gauge the effect of EC Lab on students’ understanding in the learning of Electrochemistry. Some 127 Form Four students from two secondary s...

Evaluation of Surface Complementarity, Hydrogen bonding, and Electrostatic interaction in molecular Recognition (ESCHER) is a new docking procedure consisting of three modules that work in series. The first module evaluates the geometric complementarity and produces a set of rough solutions for the docking problem. The second module identifies molecular collisions within those solutions, and th...

in this paper we introduce a generalization of m-small modules and discuss about the torsion theory cogenerated by this kind of modules in category . we will use the structure of the radical of a module in  and get some suitable results about this class of modules. also the relation between injective hull in  and this kind of modules will be investigated in this article.   for a module  we show...

The BioText project team participated in both tasks of the TREC 2003 genomics track. Key to our approach in the primary task was the use of an organism-name recognition module, a module for recognizing gene name variants, and MeSH descriptors. Text classification improved the results slightly. In the secondary task, the key insight was casting it as a classification problem of choosing between ...

A C-linear map θ (not necessarily bounded) between two Hilbert C-modules is said to be ‘orthogonality preserving’ if 〈θ(x), θ(y)〉 = 0 whenever 〈x, y〉 = 0. We prove that if θ is an orthogonality preserving map from a full Hilbert C0()-module E into another Hilbert C0()-module F that satisfies a weaker notion of C0()-linearity (called ‘localness’), then θ is bounded and there exists φ ∈ Cb()+...

This paper describes the system SYNHESYS, which is a shell for developing expert systems composed of both a connectionist module and a symbolic module. The shell allows for several types of interactions between the two modules, and for several degrees of coupling. SYNHESYS aims at facilitating the process of knowledge acquisition and at improving the performance of the symbolic module. We prese...