Characterizations of QF Rings

DOI10.1080/00927870601042134zbMath1172.16010OpenAlexW2025381138MaRDI QIDQ3430284

Yiqiang Zhou, Liang Shen, Jian-Long Chen

Publication date: 21 March 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601042134

zbMATH Keywords

quasi-Frobenius ringsQF ringsCS ringsgeneralizations of injectivityGP-injective ringsP-injective ringsleft generalized principally injective rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Quasi-Frobenius rings (16L60) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (3)

On automorphism-invariant rings with chain conditions ⋮ A remark on QF rings ⋮ Some characterizations of quasi-Frobenius rings

Cites Work

• Quasi-injective modules with acc or dcc on essential submodules
• Generalizations of principally injective rings
• Continuous rings with chain conditions
• Mininjective rings
• Principally injective rings
• Ikeda-Nakayama rings
• On Artiness of Right CF Rings
• Relative injectivity and chain conditions
• On quasi-perfect rings
• Rings with the principal extension property
• On general principally injective rings
• Annihilators and the CS-condition
• Pseudo-Frobenius Rings: Characterizations and Questions
• On a Generalization of Injective Rings
• Rings in which certain right ideals are direct summands of annihilators
• GP-Injective Rings Need Not be P-Injective
• Rings satisfying certain chain conditions.

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