When every torsion preradical is a torsion radical

DOI10.1080/00927879908826771zbMath0941.16016OpenAlexW2144159451MaRDI QIDQ4700486

John E. van den Berg

Publication date: 31 July 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826771

zbMATH Keywords

idempotentsGabriel dimensionGabriel filterstopologizing filterstorsion preradicals

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (6)

Divisibility and Factorization of Kernel Functors ⋮ Modules whose hereditary pretorsion classes are closed under products. ⋮ Rings Characterized via a Class of Left Exact Preradicals ⋮ Duprime and dusemiprime modules ⋮ Various Classes of Pseudoprojective Modules over Semiperfect Rings ⋮ Quotients of Preradicals on a Module Category

Cites Work

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• Every algebraic chain is the congruence lattice of a ring
• The Gabriel dimension of a module
• When is Every Kernel Functor Idempotent?
• Distributive rings with goldie dimension one
• Modules Whose Lattice of Submodules is Distributive
• Conditions under which all preradical classes are perfect hereditary torsion classes
• Ducompact filters and prime kernal functors
• On the idempotence and stability of kernel functors

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