Semiperfect modules relative to a torsion theory

DOI10.1016/0022-4049(86)90092-7zbMath0608.16024OpenAlexW2053304965MaRDI QIDQ1086328

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

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90092-7

zbMATH Keywords

projective coversemiperfect ringssemiperfect moduleshereditary torsion theorydirect decompositionleft Gabriel topology\({\mathcal F}\)-projectivitymodule of quotientsstrongly \({\mathcal F}\)-projective covers

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Noncommutative local and semilocal rings, perfect rings (16L30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (3)

Relative splitting properties with applications to endomorphism rings ⋮ On endomorphism rings of quasiprojective modules ⋮ Self-injective and PF endomorphism rings

Cites Work

• The descending chain condition relative to a torsion theory
• \(\sigma\)-semiperfekte und \(\sigma\)-perfekte Moduln
• Characterizations of semi-perfect and perfect modules
• Semi-perfect modules
• Spektralkategorien und reguläre Ringe im von-Neumannschen Sinn
• Codivisible and Projective Covers
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• V-rings relative to gabriel topologies
• Spectral gabriel topologies and relative singular functors
• Divisible and Codivisible Modules.
• Codivisible modules
• Eine Kennzeichnung Semi-perfekter Moduln
• Endomorphism Rings of Projective Modules
• Rings and modules of quotients
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