A Note on rings of finite rank

DOI10.1080/00927872.2017.1392540zbMath1397.13025arXiv1605.01305OpenAlexW2963611102MaRDI QIDQ5375993

Pete L. Clark

Publication date: 17 September 2018

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

Full work available at URL: https://arxiv.org/abs/1605.01305

zbMATH Keywords

semigroup ringnonmaximal orderfinitely rank

Mathematics Subject Classification ID

Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Cites Work

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• Rings of finite rank and finitely generated ideals
• Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
• Über die Anzahl der Erzeugenden eines Ideals in einem Noetherschen Ring
• The number of generators of a module
• On the structure of principal ideal rings
• On commutative rings of finite rank
• Commutative rings with restricted minimum condition
• Torsion-Free Abelian Semigroup Rings, V
• n-Generator Property of a Polynomial Ring
• Torsion-Free Abelian Group Rings III
• The number of atoms in a primefree atomic domain
• Some Examples of one Dimensional Gorenstein Domains

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