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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Quadratic modules in $ R[[X]]$


Authors: Doris Augustin and Manfred Knebusch
Journal: Proc. Amer. Math. Soc. 138 (2010), 75-84
MSC (2000): Primary 13J05, 13J30; Secondary 06F25
Published electronically: August 20, 2009
MathSciNet review: 2550171
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Abstract: We give a complete list of all quadratic modules and inclusions between them in the ring $ R[[X]]$ of formal power series in one variable $ X$ over a euclidean field $ R$.


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Additional Information

Doris Augustin
Affiliation: Universität Regensburg, NWF I - Mathematik, D-93040 Regensburg, Germany
Email: doris.augustin@mathematik.uni-regensburg.de

Manfred Knebusch
Affiliation: Universität Regensburg, NWF I - Mathematik, D-93040 Regensburg, Germany
Email: manfred.knebusch@mathematik.uni-regensburg.de

DOI: http://dx.doi.org/10.1090/S0002-9939-09-10043-6
PII: S 0002-9939(09)10043-6
Keywords: Quadratic modules, preorderings, formal power series rings
Received by editor(s): July 15, 2008
Received by editor(s) in revised form: May 5, 2009
Published electronically: August 20, 2009
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.