On \(\Phi\)-powerful submodules and \(\Phi\)-strongly prime submodules

DOI10.3934/math.2021674OpenAlexW3193083073MaRDI QIDQ2671165

Waheed Ahmad Khan, Kiran Farid, Abdelghani Taouti

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021674

zbMATH Keywords

strongly prime submodule\(\Phi\)-powerful submodule\(\Phi\)-pseudo-valuation module\(\Phi\)-strongly prime submodulepowerful submodule

Mathematics Subject Classification ID

Other special types of modules and ideals in commutative rings (13C13) Theory of modules and ideals in commutative rings (13C99)

Cites Work

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• On \(\Phi \)-Mori modules
• Pseudo-valuation domains
• On \(\Phi\)-Dedekind, \(\Phi\)-Prüfer and \(\Phi\)-Bezout modules
• ON 𝜙-n-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS
• Some remarks on Pr\"{u}fer modules
• Dedekind modules^*
• NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS
• Idempotent and Nilpotent Submodules of Multiplication Modules
• Generalization of Nilpotency of Ring Elements to Module Elements

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