ON FLATNESS RELATIVE TO A TORSION THEORY

DOI10.1080/16073606.1991.9631664zbMath0754.16016OpenAlexW2007795671MaRDI QIDQ3984688

Dereck Gray

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1080/16073606.1991.9631664

zbMATH Keywords

torsion radicalfilter of ideals\(\sigma\)-flat modules\(\sigma\)-pure exactcategory of unital left \(R\)-modulescyclic \(\sigma\)- torsion moduleprojectively generated pure theory

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Free, projective, and flat modules and ideals in associative algebras (16D40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items

ON RELATIVE FLATNESS, Pointwise comparison of PCM and \(\Sigma \Delta \) quantization

Cites Work

• On the free product of associative rings
• Purity in functor categories
• Pure theories
• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• Relative coherence and TTF classes
• Relatively flat modules
• FILTERED-PROJECTIVE AND SEMIFLAT MODULES
• On flatness relative to a torsion theory
• THE σ-PURE INJECTIVE BULL, FOR A TORSION RADICAL, σ
• Rings and modules of quotients