Gröbner bases in orders of algebraic number fields.

DOI10.1006/jsco.2001.0501zbMath1057.13504OpenAlexW2078423869MaRDI QIDQ1599544

David Andrew Smith

Publication date: 11 June 2002

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

Full work available at URL: https://semanticscholar.org/paper/8932116b85969471c84b08e070ff1aeb31a392da

zbMATH Keywords

Gröbner basisorderdivision algorithmsingletonreduction ring

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Number-theoretic algorithms; complexity (11Y16) Algebras and orders, and their zeta functions (11S45)

Cites Work

• Gröbner bases of modules over reduction rings
• The reduction ring property is hereditary
• A generalization of reduction rings
• Gröbner bases and primary decomposition of modules
• Algorithmic properties of polynomial rings
• Advanced Topics in Computional Number Theory
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