Computing minimal finite free resolutions

DOI10.1016/S0022-4049(97)00007-8zbMath0906.13006MaRDI QIDQ1358902

A. Capani, Gianfranco Niesi, Lorenzo Robbiano, Gabriel de Dominicis

Publication date: 18 February 1999

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

zbMATH Keywords

Gröbner basisPoincaré seriessyzygiesBuchberger's algorithm

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

Computing representation matrices for the action of Frobenius on cohomology groups, The Frobenius number and \(a\)-invariant, Computation of minimal homogeneous generating sets and minimal standard bases for ideals of free algebras

Uses Software

• CoCoA
• Macaulay2
• SINGULAR

Cites Work

• New constructive methods in classical ideal theory
• Gröbner bases and primary decomposition in polynomial rings in one variable over Dedekind domains
• SINGULAR: A computer algebra system for singularity theory, algebraic geometry and commutative algebra
• On an implementation of standard bases and syzygies in SINGULAR
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