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...

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...

Given a Hopf algebra H and an H-module algebra A it is often important to be able of extending the H-action from A to a localisation of A. In this paper we are going to discuss sufficient conditions to extend Hopf actions as well as to characterise those localisations where the action can be extended. Our particular interest lies in the maximal ring of quotients of A.

Abstract Let L be an n -dimensional null-filiform Leibniz algebra over a field K . We consider finite dimensional cocommutative Hopf or Taft H and we describe the -actions on Moreover provide set of -identities description S -module structure relatively free

let $s$ be an inverse semigroup and let $e$ be its subsemigroup of idempotents. in this paper we define the $n$-th module cohomology group of banach algebras and show that the first module cohomology group $hh^1_{ell^1(e)}(ell^1(s),ell^1(s)^{(n)})$ is zero, for every odd $ninmathbb{n}$. next, for a clifford semigroup $s$ we show that $hh^2_{ell^1(e)}(ell^1(s),ell^1(s)^{(n)})$ is a banach space,...

in the present paper, the concepts of module (uniform) approximate amenability and contractibility of banach algebras that are modules over another banach algebra, are introduced. the general theory is developed and some hereditary properties are given. in analogy with the banach algebraic approximate amenability, it is shown that module approximate amenability and contractibility are the same ...

Recall the setting at the end of the previous lecture: A is an abelian variety over a field F of characteristic zero, with dimension g > 0. Let L be a number field of degree 2g over Q “acting” on A; that is, we have an embedding L ↪→ End(A). The elements of L that actually act on A – i.e., O := L ⋂ End(A) – form an order in L. Since char(F ) = 0, the action of O on T0(A) (a g-dimensional F -vec...

Future Smart-Home device usage prediction is a very important module in artificial intelligence. The technique involves analyzing the user performed actions history and apply mathematical methods to predict the most feasible next user action. Unfortunately most of the techniques tend to ignore the adaptation to the user preferred actions and the relation between the actions and the state of the...

RÉSUMÉ. Cet article aborde le problème de l’évaluation, par l’agent, de ses actions et interactions. Nous proposons un modèle des satisfactions différenciant actions individuelles et interactions avec les agents voisins. La satisfaction personnelle est calculée incrémentalement dans le temps suivant la perception de la progression de la tâche en cours. La satisfaction interactive est une évalua...