Technique de descente et théorèmes d'existence en géométrie algébriques. II. Le théorème d'existence en théorie formelle des modules
Tertiary decomposition in Grothendieck categories
The Artin conjecture for Q-algebras.
We give a simplification, in the case of Q-algebras, of the proof of Artin's Conjecture, which says that a regular morphism between Noetherian rings is the inductive limit of smooth morphisms of finite type.
The Category of Graded Modules.
The Construction of a Module of Finite Projective Dimension from a Finitely Generated Module of Finite Injective Dimension.
The effect on associated prime ideals produced by an extension of the base field.
The Euler Characteristic of a Finitely Generated Module of Finite Injective Dimension.
The Heigth of Ideals and Regular Sequences.
The lattice of radical filters of a commutative Noetherian ring
The structure of an almost artinian module.
Topological rings that generalize artinian rings.
Torsion-free modules and syzygies.
Two applications of dualizing complexes over local rings