MAX MODULES RELATIVE TO A TORSION THEORY

DOI10.1142/S021949880800259XzbMath1165.16016MaRDI QIDQ3520467

John Clark, Stelios A. Charalambides

Publication date: 26 August 2008

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

hereditary torsion theoriesNoetherian modulesmaximal submodulesradical seriesMax modulesleft Max ringsshort modules

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (1)

COMMUTATIVE TALL RINGS

Cites Work

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• The kernels of completion maps and a relative form of Nakayama's lemma
• Dual generalizations of the Artinian and Noetherian conditions
• Torisonfree injective modules
• Small submodules relative to a torsion theory
• Torsion theories and ring extensions
• Rings with an almost Noetherian ring of fractions.
• On rings over which each module has a maximal submodule
• Short modules and almost noetherian modules

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