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 ...

(One-value) graph magma algebras are algebras having a basis B = V boolean OR {1} such that, for all u,v is an element of V, uv is an element of {u,0}. Such bases induce graphs and, conversely, certain types of graphs ...

The purpose of this work is to present the studies realized about algebras, coalgebras and bialgebras, culminating in the definition of Hopf algebras. Examples of each algebraic structures, as well as counterexamples when ...

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 ...

This paper is a short study about factorization and divisibility in commutative rings. Many definitions related to rings, ideals and their relation to factorization are given in the text. Among them, the concept of unique ...

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 ...

Let D be a division ring with center k, and let D-dagger be its multiplicative group. We investigate the existence of free groups in D-dagger, and free algebras and free group algebras in D. We also go through the case ...

En este trabajo estudiamos el anillo filtrado de operadores diferenciales sobre álgebras no conmutativas D(A) , formulado por primera vez de manera intrínseca por Lunts y Rosenberg. Describimos el anillo de operadores ...