Computing minimal associated primes in polynomial rings over the integers

DOI10.1016/j.jsc.2011.05.010zbMath1230.13025OpenAlexW2073569397MaRDI QIDQ719750

Sebastian Jambor

Publication date: 11 October 2011

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2011.05.010

zbMATH Keywords

primary decompositionminimal associated primes

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Local cohomology and commutative rings (13D45)

Related Items (1)

An \(L_2\)-quotient algorithm for finitely presented groups on arbitrarily many generators.

Uses Software

• Ginv
• Macaulay2
• Magma
• SINGULAR
• SymbolicData
• Janet
• QuillenSuslin
• primdecint.lib

Cites Work

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• An algorithm for primary decomposition in polynomial rings over the integers
• An \(L_2\)-quotient algorithm for finitely presented groups.
• Specialized computer algebra system GINV
• The Magma algebra system. I: The user language
• Janet's approach to presentations and resolutions for polynomials and linear PDEs

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