On \(\Phi\)-Dedekind, \(\Phi\)-Prüfer and \(\Phi\)-Bezout modules

DOI10.1515/gmj-2017-0049zbMath1442.13005OpenAlexW2885007786MaRDI QIDQ1986060

Shahram Motmaen, Ahamd Yousefian Darani

Publication date: 7 April 2020

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2017-0049

zbMATH Keywords

Prüfer ringDedekind ringDedekind modulePrüfer moduleΦ-Dedekind moduleϕ-Dedekind ringΦ-Prüfer moduleϕ-Prüfer ring

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Related Items (3)

On \(\Phi\)-powerful submodules and \(\Phi\)-strongly prime submodules ⋮ NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS ⋮ ϕ-ALMOST DEDEKIND RINGS AND $Phi$-ALMOST DEDEKIND MODULES

Cites Work

• Divided rings and going-down
• On divided commutative rings
• Some remarks on multiplication ideals, ii
• On Nonnil-Noetherian Rings
• Dedekind modules^*
• Idempotent and Nilpotent Submodules of Multiplication Modules
• Multiplication modules
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