Abstract
Let [Formula: see text] be a one-dimensional Noetherian domain and [Formula: see text] be a two-generated fractional ideal of [Formula: see text]. In this paper, we prove that [Formula: see text] is [Formula: see text]-projective if and only if [Formula: see text] and [Formula: see text] are equivalent, i.e. there exists a projective fractional ideal [Formula: see text] of [Formula: see text] such that [Formula: see text]. We also give an example to show that [Formula: see text] being [Formula: see text]-projective does not necessarily imply that [Formula: see text] and [Formula: see text] are isomorphic.
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