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Strongly prime ideals and strongly zero-dimensional rings

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Publication:4588383
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DOI10.1142/S0219498817501912zbMath1391.13006OpenAlexW2535030137MaRDI QIDQ4588383

Christian Gottlieb

Publication date: 26 October 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498817501912


zbMATH Keywords

prime idealzero-dimensional ringstrongly prime idealintersection of idealsstrongly \(n\)-regular ring.


Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15)


Related Items (6)

Locally torsion-free modules ⋮ Noetherian-like properties and zero-dimensionality in some extensions of rings ⋮ A note on a graph related to the comaximal ideal graph of a commutative ring ⋮ S-Artinian rings and finitely S-cogenerated rings ⋮ Unnamed Item ⋮ An extension of S-artinian rings and modules to a hereditary torsion theory setting




Cites Work

  • Strongly 0-Dimensional Rings
  • Strongly 𝜋-regular rings have stable range one
  • Strongly 0-dimensional Modules
  • Topological Representation of Algebras. II




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