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On $\phi$-Pr\"ufer like conditions

On $\phi$-Pr\"ufer like conditions

In this paper, we investigate the question of when a $\phi$-ring is $\phi$-Pr\"ufer using two types of techniques: first, by analysing the lattice structure of the nonnil ideals of $\phi$-rings; and secondly, by considering content ideal techniques which were developed to study Gaussian polynomials. In particular, we conclude that every …