Resolving Decompositions for Polynomial Modules

DOI10.1007/978-3-319-45641-6_2zbMath1453.13039OpenAlexW2508309142WikidataQ129273955 ScholiaQ129273955MaRDI QIDQ2829988

Mario Albert, Werner M. Seiler

Publication date: 9 November 2016

Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-45641-6_2

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Syzygies, resolutions, complexes and commutative rings (13D02)

Uses Software

• CoCoALib

Cites Work

• On the free resolution induced by a Pommaret basis
• A combinatorial approach to involution and \(\delta \)-regularity. II: Structure analysis of polynomial modules with Pommaret bases
• A combinatorial approach to involution and \(\delta \)-regularity. I: Involutive bases in polynomial algebras of solvable type
• Involutive Division Generated by an Antigraded Monomial Ordering
• Janet Bases and Resolutions in CoCoALib
• Minimal resolutions via algebraic discrete Morse theory
• The Geometry of Syzygies
• Morse theory from an algebraic viewpoint

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