On \((m, n)\)-absorbing prime ideals and \((m, n)\)-absorbing ideals of commutative rings

DOI10.1007/s40863-022-00349-1OpenAlexW4320490320WikidataQ125499579 ScholiaQ125499579MaRDI QIDQ6188420

Abdelhaq El Khalfi, Najib Mahdoua, Ayman Badawi

Publication date: 11 January 2024

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-022-00349-1

zbMATH Keywords

trivial ring extensionabsorbing ideal

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Other special types of modules and ideals in commutative rings (13C13)

Cites Work

• Unnamed Item
• Idealization of a module
• Commutative coherent rings
• On \((m,n)\)-absorbing ideals of commutative rings
• On (m,n)-closed ideals of commutative rings
• Onn-Absorbing Ideals of Commutative Rings
• Trivial Extensions Defined by Coherent-like Conditions
• On 1-absorbing primary ideals of commutative rings
• Radical factorization for trivial extensions and amalgamated duplication rings
• On 1-absorbing prime ideals of commutative rings
• Trivial extensions satisfying certain valuation-like properties
• On 2-absorbing ideals of commutative rings

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