Rings Which Admit Faithful Torsion Modules

DOI10.1080/00927872.2011.576737zbMath1247.16002OpenAlexW2019467504MaRDI QIDQ2903377

Ryan C. Schwiebert, Greg G. Oman

Publication date: 8 August 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.576737

zbMATH Keywords

endomorphism ringsvaluation ringsserial ringstorsion modulesfaithful modulesnonsingular ringsBrown-McCoy semisimple ringsleft FT rings

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Structure, classification theorems for modules and ideals in commutative rings (13C05) Other classes of modules and ideals in associative algebras (16D80)

Related Items (3)

Residually small commutative rings ⋮ A note on zero-divisors of commutative rings ⋮ The set of strong torsion elements of a module over a noncommutative ring

Cites Work

• Unnamed Item
• Exercises in modules and rings.
• Descending chains and the Krull ordinal of commutative Noetherian rings
• Commutative Quasi-Frobenius Rings
• Commutative Artinian Principal Ideal Rings

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