Krull Dimension of Monomial Ideals in Polynomial Rings with Real Exponents

DOI10.1080/00927872.2014.925120zbMath1326.13005arXiv1305.5460OpenAlexW1627309464MaRDI QIDQ5501069

Zechariah Andersen, Sean K. Sather-Wagstaff

Publication date: 11 August 2015

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

Full work available at URL: https://arxiv.org/abs/1305.5460

zbMATH Keywords

Krull dimensionmonomial idealssemicontinuousedge ideals\(m\)-irreducible decompositions

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) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Signed and weighted graphs (05C22) Combinatorial aspects of commutative algebra (05E40)

Related Items (1)

Computing rational powers of monomial ideals

Cites Work

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• Cohen-Macaulay quotients of polynomial rings
• Monomial ideals and their decompositions
• Combinatorics and commutative algebra.
• Decompositions of Monomial Ideals in Real Semigroup Rings
• The Upper Bound Conjecture and Cohen-Macaulay Rings
• Monoid Domain Constructions of Antimatter Domains

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