Ideals generated by quadrics exhibiting double exponential degrees

DOI10.1006/jabr.1997.7225zbMath0924.13022OpenAlexW2017089594MaRDI QIDQ1383953

Jee Heub Koh

Publication date: 7 November 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7225

zbMATH Keywords

polynomial ringideal membership problemcomputational cost of algorithmsideals generated by quadrics

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (12)

On the embedded primes of the Mayr-Meyer ideals ⋮ Subadditivity of Syzygies of Ideals and Related Problems ⋮ Regularity of prime ideals ⋮ Open problems on syzygies and Hilbert functions ⋮ The regularity conjecture for prime ideals in polynomial rings ⋮ Syzygies over a polynomial ring ⋮ The minimal components of the Mayr-Meyer ideals. ⋮ Quadratic Gorenstein algebras with many surprising properties ⋮ On the maximal graded shifts of ideals and modules ⋮ Subadditivity of syzygies of Koszul algebras ⋮ Counterexamples to the Eisenbud–Goto regularity conjecture ⋮ Linearly presented modules and bounds on the Castelnuovo-Mumford regularity of ideals

Cites Work

• A new lower bound construction for commutative Thue systems with applications
• Fields of large transcendence degree generated by values of elliptic functions
• On the complexity of computing syzygies
• A note on upper bounds for ideal-theoretic problems
• The complexity of the word problems for commutative semigroups and polynomial ideals
• Constructions in Algebra

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