Modules whose hereditary pretorsion classes are closed under products.

DOI10.1016/j.jpaa.2006.05.030zbMath1121.16028OpenAlexW2022604474MaRDI QIDQ863910

Robert Wisbauer, John E. van den Berg

Publication date: 12 February 2007

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.2006.05.030

zbMATH Keywords

direct productsleft Artinian ringsArtinian moduleshereditary pretorsion classescategories of left modulesfinitely annihilated modulesproduct closed modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (6)

A generalization of quantales with applications to modules and rings. ⋮ Unnamed Item ⋮ Abelian endoregular modules ⋮ FBN Modules ⋮ Primitive submodules, co-semisimple and regular modules ⋮ Quotients of Preradicals on a Module Category

Cites Work

• Rings whose kernel functors are linearly ordered
• Zur Bewertungstheorie nicht kommutativer Körper
• Every algebraic chain is the congruence lattice of a ring
• Finitely annihilated modules and orders in artinian rings
• On rings (and chain domains) with restricted completeness conditions on topologizing filters
• Module categories with linearly ordered closed subcategories
• When every torsion preradical is a torsion radical
• On Quasi‐Artinian Rings
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