Commutative rings over which all torsion theories are hereditary

DOI10.1080/00927878108822663zbMath0464.16025OpenAlexW2112941870MaRDI QIDQ3915121

Koichiro Ohtake

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00927878108822663

zbMATH Keywords

maximal submoduleright max ringright semi-artinian ringtorsion theory of simple type

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Artinian rings and modules (associative rings and algebras) (16P20) Torsion theory for commutative rings (13D30)

Related Items (6)

On rings whose modules have nonzero homomorphisms to nonzero submodules. ⋮ When is every preradical of R-mod a left exact radical ⋮ Pseudocomplements in the lattice of torsion classes ⋮ Mod-Retractable Rings ⋮ Arbitrary torsion classes of abelian groups^* ⋮ On a Generalization of Tilting Modules

Cites Work

• Torsion theories of simple type
• Some aspects of torsion
• Commutative rings of which all radicals are left exact
• Homological independence of injective hulls of simple modules over commutative rings

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