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Commutative rings with finitely generated monoids of fractional ideals

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Publication:958067
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DOI10.1016/j.jalgebra.2008.06.032zbMath1153.13017OpenAlexW2066929516MaRDI QIDQ958067

Daniel D. Anderson, Sangmin Chun

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.06.032

zbMATH Keywords

group of divisibilityPrüfer domainsmonoids of fractional ideals


Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)


Related Items

A Note on FMS Modules and FCP Extensions, The monotone catenary degree of monoids of ideals, Étale extensions with finitely many subextensions, AN ADDENDUM TO THE PAPER: MODULES WITH FINITELY MANY SUBMODULES



Cites Work

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  • Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
  • When are associates unit multiples?
  • Finitely generated groups of divisibility
  • Integral Domains with Finitely Generated Groups of Divisibility
  • Finitely generated monoids of fractional ideals
  • Multiplication Ideals, Multiplication Rings, and the Ring R(X)
  • Rings With a Finite Number of Primes. I
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