Quadratic modules in $R[[X]]$
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- by Doris Augustin and Manfred Knebusch PDF
- Proc. Amer. Math. Soc. 138 (2010), 75-84 Request permission
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 $R$.References
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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
- 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
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 75-84
- MSC (2000): Primary 13J05, 13J30; Secondary 06F25
- DOI: https://doi.org/10.1090/S0002-9939-09-10043-6
- MathSciNet review: 2550171