Binomial Canonical Decompositions of Binomial Ideals

DOI10.1080/00927872.2010.511923zbMath1242.13024arXiv1003.1701OpenAlexW2962833950MaRDI QIDQ3113827

Ignacio Ojeda Martínez de Castilla

Publication date: 25 January 2012

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

Full work available at URL: https://arxiv.org/abs/1003.1701

zbMATH Keywords

decompositionpolynomial ringbinomial idealindex of nilpotencycellular decomposition

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Computational aspects and applications of commutative rings (13P99)

Related Items (3)

The primary components of positive critical binomial ideals ⋮ Primary Decompositions ⋮ Binomial Ideals and Congruences on $$\mathbb {N}^n$$

Uses Software

• Binomials.m2

Cites Work

• Unnamed Item
• Powers of ideals. Primary decompositions, Artin-Rees lemma and regularity
• Cellular binomial ideals. Primary decomposition of binomial ideals
• Index of nilpotency of binomial ideals.
• Binomial ideals
• Combinatorics of binomial primary decomposition
• Primary decomposition: Compatibility, independence and linear growth
• Decompositions of binomial ideals
• The chain property for the associated primes of \(\mathcal A\)-graded ideals.

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