JP Journal of Algebra, Number Theory and Applications
Volume 16, Issue 1, Pages 31 - 40
(February 2010)
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RESIDUE SKEW FIELDS OF GAUSS EXTENSIONS IN
Guangming Xie, Xuewei Gu, Hidetoshi Marubayashi and Yunxia Wang
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Abstract: Let V be a total valuation ring of a division ring K with an automorphism s and let R be a Gauss extension of V in �Then � �is a graded extension of V in �the skew Laurent polynomial ring, and �the localization of the graded Jacobson radical �of A, is equal to R. In this paper, we give a complete description of the residue skew fields of Gauss extensions. |
Keywords and phrases: graded extension, total valuation ring, residue skew field, Gauss extension. |
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