Resolving decompositions for polynomial modules

DOI10.3390/math6090161zbMath1408.13031OpenAlexW3020903892WikidataQ129273955 ScholiaQ129273955MaRDI QIDQ1634505

Werner M. Seiler, Mario Albert

Publication date: 18 December 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6090161

zbMATH Keywords

free resolutionspolynomial modulescombinatorial decompositions

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) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (1)

Complementary decompositions of monomial ideals and involutive bases

Uses Software

• CoCoALib

Cites Work

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• 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
• Hilbert functions of graded algebras
• 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
• A Survey on Stanley Depth
• Morse theory from an algebraic viewpoint
• CoCoALib: A C++ Library for Computations in Commutative Algebra... and Beyond

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