Erratum: When every finitely projective ideal is projective

Abstract

In Section 2:There is a problem in the proof of Lemma 2.4 of the previous version. Indeed, h' is not an S-homomorphism. So, we remove Lemma 2.4 and therefore, assertion 1 of Theorem 2.5, Remark 2.5 and Proposition 2.7 were also removed, as Lemma 2.4 were involved in these results. In Section 3:The assertion 2 of Theorem 3.1 was replaced by Remark 3.6 and therefore Example 3.9 which was using assertion 2 of Theorem 3.1 was removed. In Section 4:In assertion 2 of Theorem 4.1, we have added the condition f(I)J 0 in order to get that the homomorphism π' used in the proof of Lemma 4.3 be well defined.