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 ...

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 ...

In this paper, we present some results on the bounded derived category of Artin algebras, and in particular on the indecomposable objects in these categories, using homological properties. Given a complex X*, we consider ...

This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida ...

The aim of this article is to present a detailed algebraic computation of the Hochschild and cyclic homology groups of the Yang–Mills algebras YM(n) (n ∈ ℕ≧2) defined by A. Connes and M. Dubois-Violette in [8], continuing ...

For an extension of associative algebras (Formula presented.) over a field and an (Formula presented.) -bimodule (Formula presented.), we obtain a Jacobi–Zariski long nearly exact sequence relating the Hochschild homologies ...

The notion of resolutions in homological algebra is generally used to define invariants that characterize an algebraic structure. The objective of this dissertation is to study a free resolution for associative algebras ...