Four-fold torsion theories and rings of fractions

DOI10.1080/00927878108822630zbMath0452.16015OpenAlexW1999404101MaRDI QIDQ5904610

Tamotsu Ikeyama

Publication date: 1981

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878108822630

zbMATH Keywords

splitting torsion theoriestorsion submodulen-fold torsion theoryspan of a torsion theory

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Cites Work

• Unnamed Item
• Some aspects of torsion
• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• TTF classes and quasi-generators
• Four-fold torsion theories
• Splitting torsion theories
• Eine Kennzeichnung Semi-perfekter Moduln

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