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Rings of finite rank and finitely generated ideals

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Publication:847975
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DOI10.1216/JCA-2009-1-3-537zbMath1188.13006MaRDI QIDQ847975

A. Matson

Publication date: 19 February 2010

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


zbMATH Keywords

minimum rankfinite rank


Mathematics Subject Classification ID

Theory of modules and ideals in commutative rings (13C99) Chain conditions, finiteness conditions in commutative ring theory (13E99)


Related Items (4)

Modules over some group rings, having \(d\)-generator property ⋮ What Happens When the Division Algorithm “Almost” Works ⋮ A Note on rings of finite rank ⋮ Strongly stable rank and applications to matrix completion



Cites Work

  • n-generator ideals in Prüfer domains
  • Generating ideals in Prüfer domains
  • Commutative rings with restricted minimum condition
  • Integral Domains Having Nonzero Elements with Infinitely Many Prime Divisors
  • On Prime Ideals with Generic Zero x i = t n i
  • Strong $n$-generators and the rank of some Noetherian one-dimensional integral domains
  • The n-Generator Property for Commutative Rings


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