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Structure of flat covers of injective modules

Sh. Payrovi, M. Akhavizadegan (2003)

Colloquium Mathematicae

The aim of this paper is to discuss the flat covers of injective modules over a Noetherian ring. Let R be a commutative Noetherian ring and let E be an injective R-module. We prove that the flat cover of E is isomorphic to $\prod_{p \in A t t_{R} (E)} T_{p}$ . As a consequence, we give an answer to Xu’s question [10, 4.4.9]: for a prime ideal p, when does $T_{p}$ appear in the flat cover of E(R/m̲)?

Sulla proprietà di estensione nei domini noetheriani

Sandra Chiaruttini, Tomaso Millevoi (1975)

Rendiconti del Seminario Matematico della Università di Padova

Sulle localizzazioni che conservano il grado

Tomaso Millevoi (1973)

Rendiconti del Seminario Matematico della Università di Padova

Technique de descente et théorèmes d'existence en géométrie algébriques. II. Le théorème d'existence en théorie formelle des modules

Alexander Grothendieck (1958/1960)

Séminaire Bourbaki

Tertiary decomposition in Grothendieck categories

Alain H. M. J. Verschoren (1980)

Czechoslovak Mathematical Journal

The Artin conjecture for Q-algebras.

Ronan Quarez (1997)

Revista Matemática de la Universidad Complutense de Madrid

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.

R. Fossum, H.-B. Foxby (1974)

Mathematica Scandinavica

The Construction of a Module of Finite Projective Dimension from a Finitely Generated Module of Finite Injective Dimension.

Rodney Y. Sharp (1975)

Commentarii mathematici Helvetici

Currently displaying 141 – 160 of 172

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Displaying 141 – 160 of 172

Structure of flat covers of injective modules

Sulla proprietà di estensione nei domini noetheriani

Sulle localizzazioni che conservano il grado

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.

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

Über den regulären Ort in ausgezeichneten Ringen.

Über den Verband aller Lineartopologien eines Noetherschen Ringes

Über Spurfunktionen bei vollständigen Durchschnitten.

Ultraproducts and Approximation in Local Rings. II.

Currently displaying 141 – 160 of 172