SELF-DUALITY OF HARADA RING OF A COMPONENT TYPE

DOI10.1142/S0219498808001911zbMath1161.16006OpenAlexW2078403728MaRDI QIDQ3521667

Yoshitomo Baba

Publication date: 26 August 2008

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

Full work available at URL: https://doi.org/10.1142/s0219498808001911

zbMATH Keywords

primitive idempotentsserial ringsleft Harada ringsweakly symmetric self-dualities

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Quasi-Frobenius rings (16L60) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

• Einreihig zerlegbare Ringe sind selbstdual
• On quasi-Harada rings
• Injectivity of quasi-projective modules, projectivity of quasi-injective modules, and projective cover of injective modules
• Almost self-duality and Harada rings.
• Lifting modules, extending modules and their applications to QF-rings
• Some classes of qf-3 rings
• On harada rings and quasi-harada rings with left global dimension at most 2
• Examples of QF rings without Nakayama automorphism and H-rings without self-duality

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