Prime Elements and Prime Sequences in Polynomial Rings

DOI10.2307/2042527zbMath0396.13022OpenAlexW4231478749MaRDI QIDQ4179115

Edward D. Davis

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2042527

zbMATH Keywords

DepthMinimal Basis Consisting of Prime ElementsPrime Sequence Question

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (3)

A Negative Answer to the Prime Sequence Question ⋮ On cyclic essential extensions of simple modules over differential operator rings ⋮ Locally factorial integral domains

Cites Work

• Unnamed Item
• A cancellation theorem for projective modules in the metastable range
• Generators for certain ideals in regular polynomial rings of dimension three
• A note on finite ring extensions
• Efficient Generation of Maximal Ideals in Polynomial Rings
• The Hyperplane Sections of Normal Varieties
• Foundations of a General Theory of Birational Correspondences
• Projective modules over polynomial rings

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