The object of this paper is to study the relationship between certain projective modules and their endomorphism rings. Specifically, the basic problem is to describe the projective modules whose ...

The study of Gorenstein algebras has emerged as a cornerstone of modern algebra, offering a powerful paradigm in which duality and symmetry in module theory can be rigorously examined. These algebras ...

A new and more elementary proof is given for Lønsted's theorem that vector bundles over a finite complex can be represented by projective modules over a noetherian ring. The rings obtained are ...

In this work we consider non-relativistic quantum mechanics, obtained from a classical configuration space Q of indistinguishable particles. Following an approach proposed by one of the authors, wave ...

ABSTRACT: Inspired by Bouchiba’s work on generalized Gorenstein flat modules, we introduce the generalized ( ℱ,A ) -Gorenstein flat modules in this paper. By defining generalized A -complete flat ...

Abstract: For a finite quiver without sources or sinks, we prove that the homotopy category of acyclic complexes of injective modules over the corresponding finite-dimensional algebra with radical ...