Journal article
A new characterization of Dedekind domains
Glasgow Mathematical Journal, Vol.28(2), pp.237-239
1986
DOI: 10.1017/S0017089500006571
Abstract
Throughout this paper all rings are assumed commutative with identity. Among integral domains, Dedekind domains are characterized by the property that every ideal is a product of prime ideals. For a history and proof of this result the reader is referred to Cohen [ 2 , pp. 31–32]. More generally, Mori [ 5 ] has shown that a ring has the property that every ideal is a product of prime ideals if and only if it is a finite direct product of Dedekind domains and special principal ideal rings (SPIRS). Rings with this property are called general Z.P.I.-rings.
Details
- Title: Subtitle
- A new characterization of Dedekind domains
- Creators
- D. D AndersonE. W Johnson
- Resource Type
- Journal article
- Publication Details
- Glasgow Mathematical Journal, Vol.28(2), pp.237-239
- DOI
- 10.1017/S0017089500006571
- ISSN
- 0017-0895
- eISSN
- 1469-509X
- Language
- English
- Date published
- 1986
- Academic Unit
- Mathematics
- Record Identifier
- 9983985981002771
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