Abstract
In this paper, we give complete characterizations of Noetherian domains and integrally closed domains in which every ideal is projectively equivalent to a prime ideal. We also characterize pullbacks satisfying this property and show how to construct integral domains in which every ideal is projectively equivalent to a prime ideal outside the context of Noetherian domains and integrally closed domains.
Citation
Thomas G. Lucas. A. Mimouni. "Integral domains in which every ideal is projectively equivalent to a prime ideal." J. Commut. Algebra 9 (1) 119 - 141, 2017. https://doi.org/10.1216/JCA-2017-9-1-119
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