Some results on Gröbner bases over commutative rings

DOI10.1016/S0747-7171(10)80007-0zbMath0767.13008OpenAlexW2032144352MaRDI QIDQ1198241

William W. Adams, Ann K. Boyle

Publication date: 16 January 1993

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0747-7171(10)80007-0

zbMATH Keywords

Gröbner basisUFDSzekeres basisterm order on the monomials

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Related Items (1)

A new algorithm for discussing Gröbner bases with parameters.

Cites Work

• Unnamed Item
• On the construction of Gröbner bases using syzygies
• On constructing bases for ideals in polynomial rings over the integers
• A theorem on refining division orders by the reverse lexicographic order
• Lifting canonical algorithms from a ring R to the ring R[x]
• Ideal basis and primary decompositions: case of two variables
• A Canonical Basis for the Ideals of a Polynomial Domain

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