A Taxonomy of Static Modules with Examples

DOI10.1080/00927872.2015.1129631zbMath1373.16014OpenAlexW2421195823MaRDI QIDQ2826099

J. M. al-Musannef, Syed Khalid Nauman

Publication date: 7 October 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1129631

zbMATH Keywords

(ad)static(co)generated(co)presented*-*s-\(n\)-star modulesself-static(-tilting)

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Other classes of modules and ideals in associative algebras (16D80)

Related Items (1)

Baer-Kaplansky classes in categories: transfer via functors

Cites Work

• Static modules and stable Clifford theory
• Endomorphism rings of self-generators
• Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
• Fuller's theorem on equivalences
• On equivalences between module subcategories
• On the structure of *-modules
• Static modules and Clifford theories
• A characterization of \(n\)-cotilting and \(n\)-tilting modules.
• \(n\)-star modules and \(n\)-tilting modules.
• \(*^s\)-modules.
• Some remarks on equivalences between categories of modules

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