@article{Graeter2009, author = {Graeter, Joachim}, title = {On extending Pruefer rings in central simple algebras}, issn = {0933-7741}, doi = {10.1515/Forum.2009.007}, year = {2009}, abstract = {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.}, language = {en} } @article{GraeterSperner2015, author = {Graeter, Joachim and Sperner, Robert P.}, title = {On embedding left-ordered groups into division rings}, series = {Forum mathematicum}, volume = {27}, journal = {Forum mathematicum}, number = {1}, publisher = {De Gruyter}, address = {Berlin}, issn = {0933-7741}, doi = {10.1515/forum-2012-0070}, pages = {485 -- 518}, year = {2015}, language = {en} }