Abstract
A ZPUI domain is an integral domain with property : every nonzero proper ideal of can be written as , where is an invertible ideal of and is a nonempty collection of pairwise comaximal prime ideals of . Among other things, we study two types of natural generalizations of ZPUI domains: (i) the in the property is principal and (ii) the property holds for all nonzero principal ideals of . For example, we show that (1) satisfies (i) if and only if is a ZPUI domain whose invertible ideals are principal and (2) satisfies (ii) if and only if is an -local domain in which each maximal ideal is invertible. We also study the -operation analogs of these two properties.
Citation
Gyu Whan Chang. Hyun Seung Choi. "IDEAL FACTORIZATION IN STRONGLY DISCRETE INDEPENDENT RINGS OF KRULL TYPE, II." Rocky Mountain J. Math. 54 (4) 975 - 994, August 2024. https://doi.org/10.1216/rmj.2024.54.975
Information