Dimension theory of commutative rings without identity

DOI10.1016/0022-4049(74)90047-4zbMath0296.13011OpenAlexW2004819191MaRDI QIDQ1213470

Jimmy T. Arnold, Robert Gilmer

Publication date: 1974

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(74)90047-4

Mathematics Subject Classification ID

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)

Noetherian pairs and hereditarily Noetherian rings ⋮ Products of Commutative Rings and Zero-Dimensionality ⋮ Two questions concerning dimension sequences

Cites Work

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• Commutative rings in which each prime ideal is principal
• Overrings and divisorial ideals of rings of the form \(D+M\)
• Extension of results concerning rings in which semi-primary ideals are primary
• Rings with unit element which contain a given ring
• The Dimension Sequence of a Commutative Ring
• Concerning adjunctions to algebras

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