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GCD and LCM-like identities for ideals in commutative rings

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Publication:2788755
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DOI10.1142/S0219498816500109zbMath1337.13003MaRDI QIDQ2788755

Manabu Ozaki, Yasuo Ohno, Shuzo Izumi, Daniel D. Anderson

Publication date: 22 February 2016

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


zbMATH Keywords

GCDPrüfer ringarithmetical ringPVMDLCM


Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)





Cites Work

  • Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
  • Characterizing prüfer rings via their regular ideals
  • Some Results on v-Multiplication Rings
  • Prüfer rings




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