Complementary decompositions of monomial ideals and involutive bases

DOI10.1007/s00200-022-00569-0zbMath1504.05309OpenAlexW4283452569MaRDI QIDQ2100115

Amir Hashemi, Werner M. Seiler, Matthias Orth

Publication date: 21 November 2022

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-022-00569-0

zbMATH Keywords

primary decompositionsmonomial idealsinvolutive basescombinatorial decompositionsquasi-stable ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Combinatorial aspects of commutative algebra (05E40)

Related Items (1)

Recursive structures in involutive bases theory

Uses Software

• CoCoALib

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the free resolution induced by a Pommaret basis
• Noether normalization guided by monomial cone decompositions
• The slice algorithm for irreducible decomposition of monomial ideals
• Involution. The formal theory of differential equations and its applications in computer algebra
• A combinatorial approach to involution and \(\delta \)-regularity. II: Structure analysis of polynomial modules with Pommaret bases
• Linear Diophantine equations and local cohomology
• Computing combinatorial decompositions of rings
• Hilbert functions of graded algebras
• Involutive bases of polynomial ideals
• Resolving decompositions for polynomial modules
• Encoding algebraic power series
• A Pommaret bases approach to the degree of a polynomial ideal
• Combinatorial decompositions for monomial ideals
• Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Translation from the German
• Vector space bases associated to vanishing ideals of points
• A Slice algorithm for corners and Hilbert-Poincaré series of monomial ideals
• Janet Bases and Resolutions in CoCoALib
• The Structure of Polynomial Ideals and Gröbner Bases
• Ideals, Varieties, and Algorithms
• Computer Algebra in Scientific Computing
• Computer Algebra in Scientific Computing

This page was built for publication: Complementary decompositions of monomial ideals and involutive bases