On endomorphism rings of quasiprojective modules

DOI10.1007/BF01179270zbMath0562.16012MaRDI QIDQ2266760

J. L. García Hernández, José L. Gómez Pardo

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

quotient categorychain conditionscategory equivalenceendomorphism ringGabriel topologyleft V-ring\(\Sigma \)-quasiprojective R-moduledual Goldie dimensions

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (23)

Clifford theory for subgroups of grading groups ⋮ Endomorphism rings with morita duality ⋮ Equivalences Induced by Adjoint Functors ⋮ The rational Loewy series and nilpotent ideals of endomorphism rings ⋮ Endofinite modules and pure semisimple rings. ⋮ Actions of groups on fully bounded noetherian rings ⋮ Covers of modules over a fixed ring ⋮ Isomorphisms of endomorphism rings of projective generators ⋮ Coranks of a quasi-projective module and its endomorphism ring ⋮ Abelian endoregular modules ⋮ Relative projectivity, graded Clifford theory, and applications ⋮ On semi-artinian modules and injectivity conditions ⋮ Endoproperties of modules and local duality. ⋮ KRULL-SCHMIDT THEOREM AND HOMOGENEOUS SEMILOCAL RINGS ⋮ Multiplication objects in commutative grothendieck categories ⋮ Graded Endomorphism Rings and Equivalences ⋮ Self-injective and PF endomorphism rings ⋮ The Krull dimension of certain semiprime modules versus their \(\alpha \)-shortness ⋮ Skew-injective modules ⋮ Endomorphism rings and category equivalences ⋮ Localization on certain Grothendieck categories ⋮ Correspondences of Coclosed Submodules ⋮ Two Clifford's theorems for strongly group-graded rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Goldie and dual Goldie dimensions
• Semiperfect modules relative to a torsion theory
• Density and equivalence
• The quotient category of a Morita context
• On quasi-projective modules via relative projectivity
• On semi-simple abelian categories
• Die Struktur von projektiven Moduln. (The structure of projective modules.)
• L'anneau des endomorphismes d'un module de torsion
• Localization of modules and the central closure of rings
• Dual goldie dimension - II
• Aufsteigende Kettenbedingung für Zyklische Moduln und Perfekte Endomorphismenringe
• Co-semisimple modules and nonassociative v-rings
• Eine Kennzeichnung Semi-perfekter Moduln
• The Dual of the Notion of “Finitely Generated”
• Endomorphism Rings of Projective Modules
• Modules Over the Endomorphism Ring of a Finitely Generated Projective Module
• Relative Projectivity and Injectivity Classes Determined by Simple Modules

This page was built for publication: On endomorphism rings of quasiprojective modules