Commutative rings in which every ideal is a product of primary ideals

DOI10.1016/0021-8693(87)90014-7zbMath0607.13004OpenAlexW2044769080MaRDI QIDQ1085213

L. A. Mahaney, Daniel D. Anderson

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90014-7

zbMATH Keywords

polynomial ringformal power series ringDedekind domainsprincipal ideal ringsfinite product of primary idealsLaskerianQ-ring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Formal power series rings (13F25)

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Cites Work

• The Laskerian property in commutative rings
• Rings with Noetherian spectrum
• Noetherian Rings in Which Every Ideal is a Product of Primary Ideals
• Equivalent Conditions for a Ring to Be a Multiplication Ring
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