Baer orderings with noninvariant valuation ring
\textit{S. Holland} [see Trans. Am. Math. Soc. 262, 219-243 (1980; Zbl 0482.12009)] introduced a notion of Baer ordering which is applicable to finite-dimensional division algebras with involution. He posed a question about the connection between such orderings and valuations. The authors give examples showing that there is no such connection in general. They also give examples of algebras of any index admitting a Baer ordering. Previously the only known examples were of index \(2^ n\) and of prime index of the form \(4m+3\).
finite-dimensional division algebras with involution
scientific article; zbMATH DE number 4137985
scientific article