La queste del Saint \(\text{Gr}_ a(\text{AL})\): A computational approach to local algebra

DOI10.1016/0166-218X(91)90114-CzbMath0752.13016MaRDI QIDQ1180161

Ferdinando Mora

Publication date: 27 June 1992

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

standard basetangent cone algorithm

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) Computational aspects in algebraic geometry (14Q99)

Related Items (9)

An introduction to commutative and noncommutative Gröbner bases ⋮ Standard bases in mixed power series and polynomial rings over rings ⋮ Linear systems over localizations of rings ⋮ An algorithm for the hilbert-samuel function of a primary ideal ⋮ Advances and improvements in the theory of standard bases and syzygies ⋮ A general framework for Noetherian well ordered polynomial reductions ⋮ Towards massively parallel computations in algebraic geometry ⋮ Evaluation techniques for zero-dimensional primary decomposition ⋮ The virtues of laziness: Complexity of the tangent cone algorithm

Uses Software

• SINGULAR

Cites Work

• On the theory of graded structures
• New constructive methods in classical ideal theory
• Computing dimension and independent sets for polynomial ideals
• Gröbner bases and primary decomposition of polynomial ideals
• The membership problem for unmixed polynomial ideals is solvable in single exponential time
• A computational model for algebraic power series
• A recursive algorithm for the computation of the hilbert polynomial
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