Refine
Has Fulltext
- no (1) (remove)
Year of publication
- 2009 (1) (remove)
Document Type
- Article (1)
Language
- English (1)
Is part of the Bibliography
- yes (1)
Institute
We give an example of a commutative Prufer domain R with field of fractions F and a quaternion division algebra D with centre F such that R cannot be extended to a Prufer order in D in the sense of [AD]. This shows, that a general extension theorem for Prufer orders in central simple algebras does not exist and finally answers a question given in [MMU]. Moreover, in our example R is a Bezout domain which is the intersection of a countable number of (non-discrete) real valuation rings.