Abstract
Characterizations of bounded and finite factorization domains are given using topological notions. Using our characterizations, the almost Dedekind domain and Pr\"ufer domain constructed by Grams \cite {Grams} are shown to be a BFD and an FFD, respectively. For a class of almost Dedekind (not Dedekind) domains it is shown that satisfying the ascending chain condition for principal ideals implies BFD.
Citation
Richard Erwin Hasenauer. "A characterization ofnon-Noetherian BFDs and FFDs." Rocky Mountain J. Math. 47 (4) 1149 - 1157, 2017. https://doi.org/10.1216/RMJ-2017-47-4-1149
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