Some characterizations of semiprime Goldie rings

DOI10.1017/S0017089500009940zbMath0801.16002OpenAlexW2091377260MaRDI QIDQ4277949

S. Tariq Rizvi, Mohamed F. Yousif, Sergio R. López-Permouth

Publication date: 7 February 1994

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500009940

zbMATH Keywords

essential right idealsummandssemiprime Goldie ringleft Goldie ringsweakly-injective modulesweakly-semisimple ringsfinitely generated singular right module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Prime and semiprime associative rings (16N60) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items

Essentially compressible modules and rings. ⋮ Strongly compressible modules and semiprime right goldie rings ⋮ Rings whose proper (principal) right ideals are strongly compressible ⋮ Weak injectivity and module classes ⋮ On the weak-injectivity profile of a ring ⋮ Weakly automorphism invariant modules and essential tightness

Cites Work

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• On hereditary rings and Boyle's conjecture
• Modules whose quotients have finite Goldie dimension
• Rings over which certain modules are injective
• Decompositions of injective modules
• Rings whose cyclic modules have finitely generated socle
• Relative injectivity and chain conditions
• Qi-filters and tight modules
• Injectives containihg no proper quasi-injective submodules
• Hereditary QI-Rings