All hereditary torsion theories are differential.

DOI10.1016/J.JPAA.2008.07.018zbMath1176.16022OpenAlexW2130677356MaRDI QIDQ1004458

Christian Lomp, John E. van den Berg

Publication date: 10 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.07.018

zbMATH Keywords

derivationshereditary torsion theoriesdifferential torsion theoriesmodules of quotientsGabriel filters

Mathematics Subject Classification ID

Derivations, actions of Lie algebras (16W25) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (1)

On Differential Torsion Theories and Rings with Several Objects

Cites Work

• Biinvertible actions of Hopf algebras
• Differentiability of torsion theories.
• Higher derivations on rings and modules.
• Differential torsion theory.
• Extension of derivations to modules of quotients
• Remarks on rings of quotients
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