A note on generalizations of quasi-Frobenius rings

DOI10.1142/S1793557116500674zbMath1347.16004MaRDI QIDQ2818311

Le Duc Thoang

Publication date: 7 September 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

quasi-Frobenius ringsQF ringsself-injective ringsco-Harada ringsPF-ringsnoncosmall modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Quasi-Frobenius rings (16L60) Other classes of modules and ideals in associative algebras (16D80)

Cites Work

• Right perfect rings with the extending property on finitely generated free modules
• Lifting modules, extending modules and their applications to QF-rings
• A CHARACTERIZATION OF CO-HARADA RING
• WHEN IS A SEMIPERFECT RING RIGHT PF?
• On small and cosmall modules
• WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM
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