Gröbner bases and primary decomposition in polynomial rings in one variable over Dedekind domains

DOI10.1016/S0022-4049(96)00052-7zbMath0908.13021MaRDI QIDQ1369594

Philippe Loustaunau, William W. Adams

Publication date: 18 March 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Gröbner basesprimary decomposition of idealsunivariate polynomial rings over Dedekind domains

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) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

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Cites Work

• On the construction of Gröbner bases using syzygies
• Gröbner bases and primary decomposition in polynomial rings in one variable over Dedekind domains
• Ideal basis and primary decompositions: case of two variables
• Polynomials determining Dedekind domains
• Grobner bases and extension of scalars
• A Canonical Basis for the Ideals of a Polynomial Domain
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