The minimal components of the Mayr-Meyer ideals.

DOI10.1016/S0021-8693(03)00236-9zbMath1082.13014arXivmath/0209172OpenAlexW2152340545MaRDI QIDQ1403895

Irena Swanson

Publication date: 20 August 2003

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

Full work available at URL: https://arxiv.org/abs/math/0209172

zbMATH Keywords

membership problemprimary decompositioncomplexity of polynomial idealsMayr-Meyer ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Other special types of modules and ideals in commutative rings (13C13) Descriptive complexity and finite models (68Q19)

Related Items (3)

Random sampling in computational algebra: Helly numbers and violator spaces ⋮ On the embedded primes of the Mayr-Meyer ideals ⋮ Many associated primes of powers of primes

Uses Software

• Macaulay2
• SINGULAR

Cites Work

• Unnamed Item
• Unnamed Item
• Localization and primary decomposition of polynomial ideals
• Gröbner bases and primary decomposition of polynomial ideals
• On the complexity of computing syzygies
• Direct methods for primary decomposition
• Ideals generated by quadrics exhibiting double exponential degrees
• The complexity of the word problems for commutative semigroups and polynomial ideals
• Binomial ideals
• Sharp Effective Nullstellensatz

This page was built for publication: The minimal components of the Mayr-Meyer ideals.