Decompositions of Monomial Ideals in Real Semigroup Rings

DOI10.1080/00927872.2012.699569zbMath1277.13006arXiv1201.3040OpenAlexW2033214946MaRDI QIDQ2855427

Daniel Ingebretson, Sean K. Sather-Wagstaff

Publication date: 25 October 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3040

zbMATH Keywords

semigroup ringsirreducible decompositions of monomial ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items (4)

Homological algebra for persistence modules ⋮ Krull Dimension of Monomial Ideals in Polynomial Rings with Real Exponents ⋮ Computing rational powers of monomial ideals ⋮ Path ideals of weighted graphs

Uses Software

• CoCoA
• SINGULAR

Cites Work

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• The slice algorithm for irreducible decomposition of monomial ideals
• Cohen-Macaulay quotients of polynomial rings
• Parametric decomposition of monomial ideals. II
• The Alexander duality functors and local duality with monomial support
• Monomial ideals and their decompositions
• Cohen-Macaulay properties of square-free monomial ideals
• Cohen-Macaulay graphs
• The facet ideal of a simplicial complex
• Simplicial trees are sequentially Cohen-Macaulay
• Combinatorics and commutative algebra.
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• ALGORITHMS ON PARAMETRIC DECOMPOSITION OF MONOMIAL IDEALS
• Monomial Ideals
• Topological Cohen-Macaulay criteria for monomial ideals

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