On (1,r)-ideals of commutative rings

DOI10.1142/s0219498824500233MaRDI QIDQ6067621

Najib Mahdoua, Adam Anebri, Abdelhaq El Khalfi

Publication date: 14 December 2023

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

zbMATH Keywords

\(r\)-ideal\(pr\)-ideal\(1\)-absorbing primary ideal\((1, r)\)-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

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• Idealization of a module
• Commutative coherent rings
• Trivial Extensions Defined by Coherent-like Conditions
• On 1-absorbing primary ideals of commutative rings
• Two annihilator conditions:property(A)and(A.C.)
• Radical factorization for trivial extensions and amalgamated duplication rings
• On 1-absorbing prime ideals of commutative rings
• Trivial extensions satisfying certain valuation-like properties
• d-ideals,f d-ideals and prime ideals
• On 2-absorbing ideals of commutative rings
• $r$-ideals in commutative rings
• r -Submodules and sr-Submodules

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