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Corrigendum

Published online by Cambridge University Press:  18 May 2009

W. K. Nicholson  and
M. F. Yousif
W. K. Nicholson
Affiliation:
Department of Mathematics, University of Calgary, Calgary, Canada72N 1N4
M. F. Yousif
Affiliation:
Department of Mathematics, Ohio State University, Lima Ohio 45804, U.S.A.
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Proposition 3.1 of the paper Annihilators and the CS-condition, Glasgow Math. J. 40 (1998), 213–222, is incorrect as stated, and consequently the note added in proof is incorrect. Hence the question of Faith and Menal whether every strongly right Johns ring is quasi- Frobenius remains open. The problem is that the assumption that the left socle S1 and the right socle Sr are equal is not established. All we know is that Si⊆Sr = r(J) = l(J) by [8, Lemma 2.2]. We can prove the following result.

Type
Corrigendum
Information
Glasgow Mathematical Journal , Volume 40 , Issue 3 , September 1998 , pp. 475 - 476
Copyright
Copyright © Glasgow Mathematical Journal Trust 1998