Efficient Generation of Maximal Ideals in Polynomial Rings

DOI10.2307/1997916zbMath0365.13008OpenAlexW4248380456MaRDI QIDQ4141326

Anthony V. Geramita, Edward D. Davis

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997916

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items

Prime Elements and Prime Sequences in Polynomial Rings ⋮ Efficient generation of ideals in polynomial rings ⋮ Principal ideals and smooth curves ⋮ Matrix factorizations, exterior powers, and complete intersections ⋮ Pic\((R)\) and the \(R\)-flatness of \(R[X/I\)] ⋮ A Note on Complete Intersections ⋮ Strongly regular rings ⋮ On maximal ideals in polynomial and Laurent polynomial rings ⋮ Projective generation of maximal ideals in polynomial rings ⋮ Maximal Ideals in Laurent Polynomial Rings ⋮ Generators for certain ideals in regular polynomial rings of dimension three ⋮ On the Forster-Eisenbud-Evans conjectures ⋮ A note on set-theoretic complete intersection ideals ⋮ When is an ideal generated by a regular sequence? ⋮ Efficient generation of zero dimensional ideals in polynomial rings ⋮ On trace zero matrices and commutators

Cites Work

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• On the unboundedness of generators of prime ideals in powerseries rings of three variables
• Über die Anzahl der Erzeugenden eines Ideals in einem Noetherschen Ring
• Grothendieck groups and Picard groups of abelian group rings
• Ideals of the principal class, R-sequences and a certain monoidal transformation
• Regular sequences and minimal bases
• A note on finite ring extensions
• On the dimension theory of rings. II
• Maximal Ideals in Polynomial Rings
• On the Geometric Interpretation of Seminormality
• Projective A [X -Modules]
• Projective modules over polynomial rings
• Projective modules over polynomial rings