Journal article
Some remarks on star operations and the class group
Journal of pure and applied algebra, Vol.51(1-2), pp.27-33
1988
DOI: 10.1016/0022-4049(88)90075-8
Abstract
Let D be an integral domain. In the first section we prove two theorems about star operations. In the second section we investigate when the condition I f is principal, for I a divisorial ideal of D and f a nonzero principal prime of D , implies that I is principal. Our main result is that for any integral domain D and multiplicatively closed subset S of D generated by nonzero principal primes, the natural homomorphisms Pic( D )→Pic( D s ) and Cl t ( D )→Cl t ( D s ) are each injective. We give examples to show that these maps need not be surjective.
Details
- Title: Subtitle
- Some remarks on star operations and the class group
- Creators
- D. D AndersonDavid F Anderson
- Resource Type
- Journal article
- Publication Details
- Journal of pure and applied algebra, Vol.51(1-2), pp.27-33
- DOI
- 10.1016/0022-4049(88)90075-8
- ISSN
- 0022-4049
- eISSN
- 1873-1376
- Language
- English
- Date published
- 1988
- Academic Unit
- Mathematics
- Record Identifier
- 9983985867302771
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