Projectively full ideals in noetherian rings. II. (Q855963)

The authors started their work on projectively full ideals in [J. Algebra 282, No. 1, 140--156 (2004; Zbl 1059.13001)], and continued it in the previous part of the present paper [J. Algebra 304, No. 1, 73--93 (2006; Zbl 1109.13016)]. In this paper, the authors prove that if \(I\) is a proper ideal of a noetherian integral domain \(R\) that contains the field of rational numbers, then \(R\) has a finite integral extension domain \(B\) so that \(\mathbb P(IB)\) is projectively full. This result is just a particular case of the main result of the paper. Many other results and examples on this topic are presented in the paper.