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 ...

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 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 ...

In this article we introduce the notion of multi-Koszul algebra for the case of a locally finite dimensional nonnegatively graded connected algebra, as a generalization of the notion of (generalized) Koszul algebras defined ...

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 ...

Generalizing the well known and exploited relation between Heyting and Nelson algebras to semi-Heyting algebras, we introduce the variety of semi-Nelson algebras. The main tool for its study is the construction given by ...

In this paper we determine the first Hochschild homology and cohomology with different coefficients for gentle algebras and we give a geometrical interpretation of these (co)homologies using the ribbon graph of a gentle ...

In this paper, we study the category of algebraic Bol loops over an algebraically closed field of definition. On the one hand, we apply techniques from the theory of algebraic groups in order to prove structural theorems ...