journal6 ›› 2009, Vol. 30 ›› Issue (2): 1-4.

• Mathematics •     Next Articles

Homogeneous Composed Groebner Basis over Noetherian Domain


  1. (College of Mathematical Sciences and Computational Technology,Central South University,Changsha  410083,China)
  • Online:2009-03-25 Published:2012-04-25

Abstract: Composition is the operation of replacing variables in a polynomial with other polynomials.For Noetherian domain,homogeneous composition and Groebner basis computation is commutative if composition is compatible with the term ordering and it is a list of monic homogeneous polynomial with its monic powering product being a permuted powering.

Key words: Noetherian domain, homogeneous composed Groebner basis, syzygy condition, S-polynomials

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