scientific article; zbMATH DE number 7687428

zbMath1514.13006MaRDI QIDQ6044678

Najib Mahdoua, Hwankoo Kim, Mohammed Tamekkante, Abdelhaq El Khalfi

Publication date: 22 May 2023

Full work available at URL: https://pjm.ppu.edu/sites/default/files/papers/PJM_December_2022_258_to_266.pdf

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zbMATH Keywords

amalgamated duplicationtrivial ring extension\(\phi_P\)-chained ring\(\phi_P\)-pseudo valuation ring\(\phi_P\)-strongly prime ideal

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Integral dependence in commutative rings; going up, going down (13B21) Commutative ring extensions and related topics (13B99)

Cites Work

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• Idealization of a module
• A construction of Gorenstein rings
• Trivial extensions defined by Prüfer conditions
• Commutative coherent rings
• Divided rings and going-down
• Pseudo-valuation domains
• Trivial Extensions Defined by Coherent-like Conditions
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• On divided commutative rings
• On Nonnil-Noetherian Rings
• Trivial extensions satisfying certain valuation-like properties

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