Primeness Conditions on the Lattice of Hereditary Pretorsion Classes

DOI10.1081/AGB-120027852zbMath1068.16040OpenAlexW2004131568MaRDI QIDQ4454156

John E. van den Berg

Publication date: 7 March 2004

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

Full work available at URL: https://doi.org/10.1081/agb-120027852

zbMATH Keywords

hereditary torsion theoriesprime ringslattice ordered monoidspretorsionsduprimeness

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ordered semigroups and monoids (06F05) Modular lattices, Desarguesian lattices (06C05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Applications of logic in associative algebras (16B70)

Cites Work

• When multiplication of topologizing filters is commutative
• Primeness described in the language of torsion preradicals
• THE LATTICE STRUCTURE OF HEREDITARY PRETORSION CLASSES
• Finitely annihilated modules and orders in artinian rings
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