Mesoprimary decomposition of binomial submodules

DOI10.1016/j.jalgebra.2017.02.010zbMath1387.20048arXiv1511.00161OpenAlexW2204389695MaRDI QIDQ524470

Christopher O'Neill

Publication date: 2 May 2017

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

Full work available at URL: https://arxiv.org/abs/1511.00161

zbMATH Keywords

binomial idealsmonoid congruencescombinatorial commutative algebra

Mathematics Subject Classification ID

Commutative semigroups (20M14) Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Semigroup rings, multiplicative semigroups of rings (20M25) Arithmetic theory of semigroups (20M13) Combinatorial aspects of commutative algebra (05E40)

Uses Software

• Binomials.m2

Cites Work

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• Decompositions of commutative monoid congruences and binomial ideals.
• The Alexander duality functors and local duality with monomial support
• Cohen-Macaulay quotients of normal semigroup rings via irreducible resolutions.
• Bass numbers of semigroup-graded local cohomology.
• Primary semigroups

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