Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-27T07:07:16.079Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)