Finitely hereditary torsion theories

DOI10.1080/00927878208822832zbMath0493.16018OpenAlexW1970111179MaRDI QIDQ3955532

Tamotsu Ikeyama

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822832

zbMATH Keywords

localizationinjective hulltorsion theoryfinitely generated torsion modulesright Gabriel topologycyclic hereditary torsion classcyclic torsion modulesfinitely hereditary torsion theory

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Localization and associative Noetherian rings (16P50)

Related Items (4)

Abelian torsion theories with localization ⋮ Left exact torsion theories ⋮ Localization in Abelian Categories ⋮ Generalizations of hereditary torsion classes

Cites Work

• Unnamed Item
• Some aspects of torsion
• Homological dimension and splitting torsion theories
• On an \(n\)-fold torsion theory in the category \(_RM\).
• TTF classes and quasi-generators
• Codivisible and Projective Covers
• Torsion theories with -gabriel topologies
• On rings with trivial torsion parts

This page was built for publication: Finitely hereditary torsion theories