Notes on weakly-semisimple rings

DOI10.1017/S0004972700014982zbMath0855.16004MaRDI QIDQ4866754

Yiqiang Zhou

Publication date: 27 January 1997

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Noetherian ringsessential submodulescyclic submodulescompressible modulesQI-ringssemiprime right Goldie ringssubmodules of \(M\)-generated modulesweakly-injective modulestight submodulesright CC-ringsright weakly-semisimple ringsuniform cyclic modulesuniform cyclic right modulesuniform finitely generated modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (2)

Rings whose proper (principal) right ideals are strongly compressible ⋮ Weak injectivity and module classes

Cites Work

• Unnamed Item
• Rings whose cyclics are essentially embeddable in projective modules
• Dual generalizations of the Artinian and Noetherian conditions
• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• Qi-filters and tight modules
• Strongly compressible modules and semiprime right goldie rings
• Injectives containihg no proper quasi-injective submodules

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