Monomial ideals and their decompositions

DOI10.1007/978-3-319-96876-6zbMath1476.13002OpenAlexW2898203991MaRDI QIDQ1668473

Peng Zhang

Publication date: 28 August 2018

Published in: Universitext (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-96876-6

zbMATH Keywords

decompositionssimplicial complexespolynomial ringsirreducible idealsMacaulay 2Stanley-Reisner idealsmonomial idealsresolutionsfacet idealsnoetherian ringsgraphs idealsparametric decompositions

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to commutative algebra (13-04) 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) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) Computational homological algebra (13P20)

Related Items

Convex bodies and asymptotic invariants for powers of monomial ideals, On the Cohen-Macaulayness of bracket powers of generalized mixed product ideals, Irreducible decomposition of powers of edge ideals, Krull Dimension of Monomial Ideals in Polynomial Rings with Real Exponents, Decompositions of Monomial Ideals in Real Semigroup Rings

Uses Software

• CoCoA
• Macaulay2
• SINGULAR
• EdgeIdeals
• Polyhedra