Radical of splitting ring extensions.
Reduced p.p.-rings without identity.
Relative coherence and preenvelopes.
Remarks on strongly regular rings
Representations of étale Lie groupoids and modules over Hopf algebroids
The classical Serre-Swan's theorem defines an equivalence between the category of vector bundles and the category of finitely generated projective modules over the algebra of continuous functions on some compact Hausdorff topological space. We extend these results to obtain a correspondence between the category of representations of an étale Lie groupoid and the category of modules over its Hopf algebroid that are of finite type and of constant rank. Both of these constructions are functorially...
Right Utumi p.p.-rings
Ringepimorphismen und Morita-projektive Moduln über kommutativen Dedekind-Ringen.
Rings which have projective coflat module
Rings whose class of projective modules is socle fine.
Rings whose nonsingular right modules are -projective
A right -module is called -projective provided that it is projective relative to the right -module . This paper deals with the rings whose all nonsingular right modules are -projective. For a right nonsingular ring , we prove that is of finite Goldie rank and all nonsingular right -modules are -projective if and only if is right finitely - and flat right -modules are -projective. Then, -projectivity of the class of nonsingular injective right modules is also considered. Over right...