J4 ›› 2013, Vol. 48 ›› Issue (6): 38-41.

• Articles • Previous Articles     Next Articles

Dynamical Grbner bases for the polynomial ring with countably infinite variables

WANG Xian, ZHOU Jian-yang, MA Wen-chao   

  1. School of Sciences, China University of Mining & Technology, Xuzhou 221116, Jiangsu, China
  • Received:2013-01-28 Online:2013-06-20 Published:2013-06-09

Abstract:

The theory of Grbner bases for the ideals in a polynomial ring with countably infinite variables over a field is extended to that of dynamical Grbner bases. An important property of the dynamical reduced Grbner bases is discussed.

Key words: dynamical Grbner bases; principal ideal rings; S-polynomials; dynamical reduced Grbner basesGrbner

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