Lattice Properties of Torsion Theories

DOI10.1080/00927872.2011.630705zbMath1290.16026OpenAlexW2083355276MaRDI QIDQ5326269

Ladislav Bican, Václav Slavík

Publication date: 5 August 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.630705

zbMATH Keywords

hereditary torsion theorieslattices of torsion theoriesprecover classesrelative purities

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories, radicals (18E40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

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• Flat covers of modules
• ℱ-Noetherian and Weakly Exact Torsion Theories
• On torsionfree classes which are not precover classes
• Precovers
• On covers

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