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Wavelet analysis and the geometry of Euclidean domains

✍ Scribed by Howard L. Resnikoff; Raymond O. Wells Jr.


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
388 KB
Volume
8
Category
Article
ISSN
0393-0440

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Euclidean-like Characterizations of Dede
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Though Euclidean domains are principal ideal domains, the converse is known to be false. We develop a notion like that of the Euclidean ring for which the converse is true. We similarly give new characterizations of Dedekind, Krull, and unique factorization domains. We also introduce the idea of ind