dc.contributor.author |
Klep, Igor |
en |
dc.date.accessioned |
2012-05-22T23:09:44Z |
en |
dc.date.issued |
2006 |
en |
dc.identifier.citation |
Journal of Algebra 303(1):416-429 2006 |
en |
dc.identifier.issn |
0021-8693 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/18134 |
en |
dc.description.abstract |
We study the problem of embedding domains with ∗-orderings into skew fields. Assuming that the natural valuation associated to a ∗-ordered domain satisfies an Ore-type condition, we prove that the domain embeds in an order-preserving way into a ∗-ordered skew field. We call this the ∗-ordered version of the Dauns embedding theorem for domains with valuations. A number of concrete examples, where this result can be applied, is given. Moreover, a question of Murray Marshall regarding ∗-orderable groups is answered in the affirmative. |
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dc.publisher |
Elsevier; Academic Press |
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dc.relation.ispartofseries |
Journal of Algebra |
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dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/0021-8693/ |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.title |
Embedding *-ordered domains into skew fields |
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dc.type |
Journal Article |
en |
dc.identifier.doi |
10.1016/j.jalgebra.2006.05.003 |
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pubs.issue |
1 |
en |
pubs.begin-page |
416 |
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pubs.volume |
303 |
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dc.rights.holder |
Copyright: Elsevier; Academic Press |
en |
pubs.end-page |
429 |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/RestrictedAccess |
en |
pubs.subtype |
Article |
en |
pubs.elements-id |
243213 |
en |
dc.identifier.eissn |
1090-266X |
en |
pubs.record-created-at-source-date |
2012-05-23 |
en |