Corrigendum to “Annihilators and extensions of idempotent-generated ideals”

Abstract

In this note, we give a counterexample and modification of Lemma 4.4 (ii) in [1]. Moreover, the validity of Theorem 4.6 in [1] is confirmed without using Lemma 4.4 in its proof.

Keywords:

• Annihilator
• cß–Baer ring
• polynomial ring

2020 Mathematics Subject Classification:

• 16D40
• 16S36

Acknowledgments

The author wishes to express his thanks to his Prof. Refaat Salem also G. Birkenmeier and B. Heider the authors of [1] for their suggested revisions, several helpful comments and advice. As the author appreciates the helpful comments from the referee.