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2017 A characterization ofnon-Noetherian BFDs and FFDs
Richard Erwin Hasenauer
Rocky Mountain J. Math. 47(4): 1149-1157 (2017). DOI: 10.1216/RMJ-2017-47-4-1149

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.

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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

Information

Published: 2017
First available in Project Euclid: 6 August 2017

zbMATH: 06790009
MathSciNet: MR3689949
Digital Object Identifier: 10.1216/RMJ-2017-47-4-1149

Subjects:
Primary: 13A50
Secondary: 13F15

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

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Vol.47 • No. 4 • 2017
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