Projective modules with unique maximal submodules are cyclic

DOI10.1090/PROC/15086zbMath1467.16004OpenAlexW3011364847MaRDI QIDQ3298140

Masahisa Sato

Publication date: 21 July 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15086

zbMATH Keywords

projective moduleNakayama-Azumaya lemmaunique maximal submoduleWare's question

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Conditions on elements (16U99) Jacobson radical, quasimultiplication (16N20) Associative rings and algebras with additional structure (16W99)

Cites Work

• Projective modules
• Fuller's theorem on equivalences
• Finitely Generated Flat Modules and a Characterization of Semiperfect Rings
• Endomorphism Rings of Projective Modules
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