论文信息 - On the Stability of Gröbner Bases Under Specializations

On the Stability of Gröbner Bases Under Specializations

LetRbe a Noetherian commutative ring with identity,Ka field and ? a ring homomorphism fromRtoK. We investigate for which ideals inRx1,?,xn and admissible orders the formation of leading monomial ideals commutes with the homomorphism ?.

Michael Kalkbrener | M. Kalkbrener

[1] Dave Bayer,et al. Grobner bases and extension of scalars , 1992 .

[2] Abdallah Assi. On Flatness of Generic Projections , 1994, J. Symb. Comput..

[3] G. Pauer,et al. On Lucky Ideals for Gröbner Basis Computations , 1992, J. Symb. Comput..

[4] H. Michael Möller,et al. On the Construction of Gröbner Bases Using Syzygies , 1988, J. Symb. Comput..

[5] Michael Kalkbrener. Solving systems of algebraic equations by using Gröbner bases , 1987, EUROCAL.

[6] Hans-Gert Gräbe,et al. On Lucky Primes , 1993, J. Symb. Comput..

[7] Patrizia M. Gianni,et al. Properties of Gröbner bases under specializations , 1987, EUROCAL.