Journal of Guangxi Normal University(Natural Science Edition) ›› 2013, Vol. 31 ›› Issue (2): 55-57.

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Invariant Gauss Extensions in Q(K G)

WEI Yin-hu, PANG Gui-xi, WU Jiao, XIE Guang-ming   

  1. College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2013-01-06 Online:2013-06-20 Published:2018-11-26

Abstract: Let V be a total valuation ring of a division ring K and G be an abelian group with a pure cone P.Assume that K Ghas aright quotient skew field Q(K G) and R is a Gauss extension of V in Q(K G),a necessary and sufficient condition for R to be invariant in Q(K G) is given in this paper.

Key words: total valuation ring, graded extension, invariant Gauss extension

CLC Number: 

  • O153.3
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[1] MENG Shu-hui, YIN Fang-hu, XIE Guang-ming. Graded Extentions of K[x1, x2; x-11,x-12] [J]. Journal of Guangxi Normal University(Natural Science Edition), 2015, 33(1): 74-79.
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