Examples of QF rings without Nakayama automorphism and H-rings without self-duality

DOI10.1006/jabr.2001.8767zbMath1008.16020OpenAlexW2040169468MaRDI QIDQ5945580

Kazutoshi Koike

Publication date: 9 April 2003

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8767

zbMATH Keywords

Nakayama automorphismsprimitive idempotentsleft Artinian ringsbasic QF-ringsHarada ringsleft H-ringsself-dualities

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Quasi-Frobenius rings (16L60) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items

Self-duality of quasi-Harada rings and locally distributive rings. ⋮ SELF-DUALITY OF HARADA RING OF A COMPONENT TYPE ⋮ Almost self-duality and Harada rings.

Cites Work

• Self-duality and serial rings
• Rings with Morita duality
• Self-duality and Harada rings
• Modules with decompositions that complement direct summands
• On a theorem of Fuller
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