Strongly compressible modules and semiprime right goldie rings

DOI10.1080/00927879308824590zbMath0798.16004OpenAlexW2045998496MaRDI QIDQ4029218

Yiqiang Zhou

Publication date: 15 March 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824590

zbMATH Keywords

injective hullweakly injectiveprogeneratorsemiprime right Goldie ringnonsingular right \(R\)-moduleSC-modulestrongly compressible

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (5)

Modules over formal matrix rings. ⋮ Rings whose proper (principal) right ideals are strongly compressible ⋮ Notes on weakly-semisimple rings ⋮ Weak injectivity and module classes ⋮ Weakly automorphism invariant modules and essential tightness

Cites Work

• Unnamed Item
• Rings whose cyclics are essentially embeddable in projective modules
• Noncommutative Prüfer rings
• On a class of QI-rings
• Noncommutative prufer rings and some generalizations
• An Unusual Ring
• Some characterizations of semiprime Goldie rings

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