Noetherian Rings in Which Every Ideal is a Product of Primary Ideals

DOI10.4153/CMB-1980-068-2zbMath0445.13006OpenAlexW1967121514MaRDI QIDQ3889174

Daniel D. Anderson

Publication date: 1980

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1980-068-2

zbMATH Keywords

Noetherian ringmultiplication idealproduct of primary idealsfactorization into prime idealsZ.P.I. rings

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Arithmetic rings and other special commutative rings (13F99)

Related Items (7)

Commutative rings in which every ideal is a product of primary ideals ⋮ Noetherian lattices in which every element is a product of primary elements ⋮ Unnamed Item ⋮ On primary factorizations ⋮ On the arithmetic of certain not integrally closed noetheian integral domains ⋮ On the number and ideal theory of one-dimensional noetherian integral domains. ⋮ Primary factorization in semigroups

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