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On \(t\)-closedness of generalized power series rings

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Publication:5957269
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DOI10.1016/S0022-4049(01)00020-2zbMath0995.13002MaRDI QIDQ5957269

Hwankoo Kim

Publication date: 21 October 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)


zbMATH Keywords

generalized power series\(t\)-closed ringproperty \({\mathcal P}_1(A,B)\)


Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Seminormal rings (13F45) Formal power series rings (13F25)


Related Items (4)

Some remarks on the ring \(A\mathbb X_4\) ⋮ Arithmetic of Mori domains and monoids ⋮ LEFT APP-RINGS OF SKEW GENERALIZED POWER SERIES ⋮ Generalized power series with a limited number of factorizations



Cites Work

  • Unnamed Item
  • When is a power series ring \(n\)-root closed?
  • Fields of generalized power series
  • Rings of generalized power series: Nilpotent elements
  • Noetherian rings of generalized power series
  • \(t\)-closed rings of formal power series
  • Rings of generalized power series. II: Units and zero-divisors
  • Special properties of generalized power series
  • On \(n\)-root closedness of generalized power series rings over pairs of rings
  • Power series rings over a Krull domain
  • Anneauxt-clos


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