Perfect Modules.
Porjective Modules over Polynomial Rings.
Premiers, copremiers et fibrés
Prescribing endomorphism algebras of -free modules
It is a well-known fact that modules over a commutative ring in general cannot be classified, and it is also well-known that we have to impose severe restrictions on either the ring or on the class of modules to solve this problem. One of the restrictions on the modules comes from freeness assumptions which have been intensively studied in recent decades. Two interesting, distinct but typical examples are the papers by Blass [1] and Eklof [8], both jointly with Shelah. In the first case the authors...
Projective covers and minimal free resolutions.
Projective modules and approximation couples
Projective modules and prime submodules
In this paper, we use Zorn’s Lemma, multiplicatively closed subsets and saturated closed subsets for the following two topics: (i) The existence of prime submodules in some cases, (ii) The proof that submodules with a certain property satisfy the radical formula. We also give a partial characterization of a submodule of a projective module which satisfies the prime property.
Projective modules over real affine algebras.
Projective Resolutions of Cohen-Macaulay Algebras.
Projectivity of pure ideals