Quotients of Preradicals on a Module Category

DOI10.1080/00927872.2011.582058zbMath1233.16023OpenAlexW2067266932MaRDI QIDQ3098177

Mark L. Teply, John E. van den Berg

Publication date: 17 November 2011

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.582058

zbMATH Keywords

Artinian modulesendofunctorshereditary radicalsidempotent preradicalshereditary preradicals

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) General radicals and associative rings (16N80) Artinian rings and modules (associative rings and algebras) (16P20)

Cites Work

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• Modules whose hereditary pretorsion classes are closed under products.
• Rings whose kernel functors are linearly ordered
• Conditions under which all preradical classes are perfect hereditary torsion classes
• Finitely annihilated modules and orders in artinian rings
• Module categories with linearly ordered closed subcategories
• On the idempotence and stability of kernel functors
• When every torsion preradical is a torsion radical

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