On small dual rings

DOI10.1142/S0219498814500236zbMath1304.16019arXiv1308.0758OpenAlexW2964249270MaRDI QIDQ5420692

Liang Shen

Publication date: 13 June 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.0758

zbMATH Keywords

semilocal ringsright annihilatorsQF-ringssmall right idealsleft dual ringssmall dual rings

Mathematics Subject Classification ID

Quasi-Frobenius rings (16L60) Other classes of modules and ideals in associative algebras (16D80) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

• On dual rings and their modules
• Quasi-injective modules with acc or dcc on essential submodules
• On continuous rings
• A type of algebraic closure
• Dual rings
• On perfect simple-injective rings
• A NOTE ON QUASI-JOHNS RINGS
• Rings with the principal extension property
• On semilocal modules and rings
• Annihilators and the CS-condition
• J-Regular Rings with Injectivities
• Quasi-dual rings
• New Characterizations of Quasi-Frobenius Rings
• On S-Rings in the Sense of F. Kasch
• Rings with Duals