Characterization of multiplication commutative rings with finitely many minimal prime ideals

DOI10.1080/00927872.2018.1543428zbMath1422.13010OpenAlexW2943346505WikidataQ127951193 ScholiaQ127951193MaRDI QIDQ5231242

T. Alsuraiheed, Vladimir V. Bavula

Publication date: 26 August 2019

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

Full work available at URL: http://eprints.whiterose.ac.uk/147253/1/Als-Bav-CharMultRing.pdf

zbMATH Keywords

Dedekind domainmultiplication modulemultiplication ringmultiplication idealartinian local principal ideal ring

Mathematics Subject Classification ID

Principal ideal rings (13F10) Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (5)

MULTIPLICATION MODULES THAT ARE FINITELY GENERATED ⋮ Correction to: Characterization of multiplication commutative rings with finitely many minimal prime ideals ⋮ Unnamed Item ⋮ Criteria for a direct sum of modules to be a multiplication module over noncommutative rings ⋮ Restricted minimum condition in reduced commutative rings

Cites Work

• Unnamed Item
• Unnamed Item
• A companion ideal of a multiplication module
• MULTIPLICATION MODULES AND THE IDEAL
• Multiplication Ideals, Multiplication Rings, and the Ring R(X)
• Multiplication modules
• Multiplication modules
• Finite and infinite collections of multiplication modules

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