TY  - JOUR
A1  - Graeter, Joachim
T1  - On extending Pruefer rings in central simple algebras
N2  - 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.
Y1  - 2009
UR  - http://dx.doi.org/10.1515/form
U6  - https://doi.org/10.1515/Forum.2009.007
SN  - 0933-7741
ER  - 
TY  - JOUR
A1  - Graeter, Joachim
A1  - Sperner, Robert P.
T1  - On embedding left-ordered groups into division rings
JF  - Forum mathematicum
KW  - Left-ordered groups
KW  - division rings
KW  - embeddings
KW  - formal power series
Y1  - 2015
U6  - https://doi.org/10.1515/forum-2012-0070
SN  - 0933-7741
SN  - 1435-5337
VL  - 27
IS  - 1
SP  - 485
EP  - 518
PB  - De Gruyter
CY  - Berlin
ER  -