On the idempotence and stability of kernel functors

DOI10.1017/S0017089500030366zbMath0830.16022OpenAlexW2142142007MaRDI QIDQ4322979

Mark L. Teply

Publication date: 30 January 1996

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500030366

zbMATH Keywords

direct sumsdecomposition theoremsinjective hullsidempotent kernel functorsleft exact subfunctor of the identityring with Gabriel dimensionsimple left Noetherian left \(V\)- ringsstable kernel functors

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (10)

Lattices of classes of modules ⋮ Unnamed Item ⋮ Rings without a middle class from a lattice-theoretic perspective ⋮ Modules whose injectivity domains are restricted to semi-artinian modules ⋮ Rings Characterized via a Class of Left Exact Preradicals ⋮ When is every preradical of R-mod a left exact radical ⋮ When every torsion preradical is a torsion radical ⋮ Quotients of Preradicals on a Module Category ⋮ Sublattices of the lattice of pre-natural classes of modules ⋮ TORSION PRERADICALS—A TOOL FOR ANALYSING RINGS

Cites Work

• Unnamed Item
• Rings whose kernel functors are linearly ordered
• The Gabriel dimension of a module
• When is Every Kernel Functor Idempotent?
• On consequences of stability
• Conditions under which all preradical classes are perfect hereditary torsion classes
• On Stable Noetherian Rings
• Rings Whose Quasi-Injective Modules are Injective
• Rings and modules of quotients

This page was built for publication: On the idempotence and stability of kernel functors