ON RELATIVE FLATNESS

DOI10.1080/16073606.1994.9631771zbMath0834.16003OpenAlexW2093925153MaRDI QIDQ4312330

Dereck Gray

Publication date: 9 November 1994

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1994.9631771

zbMATH Keywords

cyclic modulesprojective modulestorsion radicalsperfect rings\(\sigma\)-flat modules\(\sigma\)-flatness\(\sigma\)-Jacobson radical\(\sigma\)-perfect rings\(\sigma\)-purity

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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Jacobson radical, quasimultiplication (16N20)

Related Items (1)

ON RELATIVE INJECTIVITY

Cites Work

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• Pure theories
• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• Finiteness conditions on filters of left ideals
• Semi-Simplicity Relative to Kernel Functors
• COPURE INJECTIVE MODULES
• ON FLATNESS RELATIVE TO A TORSION THEORY
• On flatness relative to a torsion theory
• THE σ-PURE INJECTIVE BULL, FOR A TORSION RADICAL, σ
• Pure Simple and Indecomposable Rings
• Regular rings and modules
• Rings and modules of quotients

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