Abstract
The study of commutative integral domains often involves the interplay between special collections of ideals and overrings. Structural properties are identified, analyzed, and classified by using the techniques and results of ideal theory. Gilmer’s 1972 book, Multiplicative Ideal Theory, serves as an excellent introduction and foundation to this perspective [G], and the recent book of Fontana, Huckaba, and Papick, Prüfer Domains, continues in this spirit [FHP].
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Huckaba, J.A., Papick, I. (2000). Connecting Trace Properties. In: Chapman, S.T., Glaz, S. (eds) Non-Noetherian Commutative Ring Theory. Mathematics and Its Applications, vol 520. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3180-4_14
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DOI: https://doi.org/10.1007/978-1-4757-3180-4_14
Publisher Name: Springer, Boston, MA
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