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Communications in Algebra Volume 42, 2014 - Issue 11
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Original Articles

Multivariate Puiseux Rings Induced by a Weierstrass System and Twisted Group Rings

Tobias Kaiser Fakultät für Informatik und Mathematik, Universität Passau, Passau, GermanyCorrespondence[email protected]
Pages 4619-4634 | Received 18 Feb 2013, Published online: 23 May 2014
 
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Abstract

Inspired by rectilinearization theorems in subanalytic and o-minimal geometry, we define rings of multivariate Puiseux series induced by Weierstrass systems. In higher dimension, these rings lack good algebraic properties as Noetherianity. But we find a nice algebraic description as a twisted group ring.

2010 Mathematics Subject Classification:

Notes

Communicated by D. Macpherson.

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