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An answer to a problem about the number of overrings

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Publication:2803548
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DOI10.1142/S0219498816500225zbMath1335.13006OpenAlexW1994405743MaRDI QIDQ2803548

Mabrouk Ben Nasr

Publication date: 2 May 2016

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

Full work available at URL: https://doi.org/10.1142/s0219498816500225

zbMATH Keywords

conductorminimal extensionPrüfer domainoverringnormal pairintermediate ring


Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Integral domains (13G05) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)


Related Items

A special chain theorem in the set of intermediate rings, The number of intermediate rings in FIP extension of integral domains, WHEN IS THE INTEGRAL CLOSURE COMPARABLE TO ALL INTERMEDIATE RINGS



Cites Work

  • New results about normal pairs of rings with zero-divisors
  • Intersections of quotient rings of an integral domain
  • Overrings of Commutative Rings. III: Normal Pairs
  • Some finiteness conditions on the set of overrings of an integral domain
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