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SELFDUALITIES OF SERIAL RINGS, REVISITED

Published online by Cambridge University Press:  31 May 2006

PHAM NGOC ÁNH
PHAM NGOC ÁNH
Affiliation:
Alfréd Rényi Mathematical Institute, Hungarian Academy of Sciences, H-1364 Budapest pf.127, Hungaryanh@renyi.hu
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Abstract

A description is given of serial rings whose maximal quotient rings are quasi-Frobenius (QF). Every serial ring is a factor of a serial ring whose maximal quotient ring is a QF-ring. This result is used to give a new, conceptual proof for the selfduality of serial rings, emphasising the importance of weakly symmetric rings.

Keywords

16D9016D50 (primary)16D10 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 3 , June 2006 , pp. 411 - 420
Copyright
© The London Mathematical Society 2006

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