The work in question has as its main objective to be an alternative material for the reader who seeks to start his studies in Homological Algebra. Here we will study the structures on sets called modules, an algebraic ...

We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl algebras, for which we parametrize all simple quotients of a certain kind. Both Jordan's simple localization of the ...

Given a finite-dimensional algebra it belongs to one of the following classes: derived tame or derived wild algebras. In this thesis our aim is to determine which finite dimensional K-algebras with three simple modules are ...

Si g es un álgebra de Lie, la cohomología H**(g) tiene una estructura de súper-álgebra de Poisson con producto asociativo súper-conmutativo V y un súper-corchete de Lie {-,-} que se compatibiliza con el producto \vee en ...

The present work aims to present the theory of semisimple rings, group rings and group representations, in order to enable the calculation and to obtain the matrix representations of groups. This study is justified by the ...