Weakly prime ideals issued from an amalgamated algebra

DOI10.15672/hujms.557437zbMath1488.13061OpenAlexW2988719957MaRDI QIDQ5163263

Moutu Abdou Salam Moutui, Youssef Zahir, Najib Mahdoua

Publication date: 3 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.557437

zbMATH Keywords

weakly prime idealamalgamated duplicationamalgamated algebraweakly Krull dimension

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (5)

On S-1-absorbing prime and weakly S-1-absorbing prime ideals ⋮ On \(S\)-weakly prime ideals of commutative rings ⋮ 2-absorbing φ-δ-primary ideals ⋮ Amalgamation over a Graded Ring ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Bi-amalgamated algebras along ideals
• Idealization of a module
• The amalgamated duplication of a ring along a multiplicative-canonical ideal
• Properties of chains of prime ideals in an amalgamated algebra along an ideal
• Rings in which every nonzero weakly prime ideal is prime
• Coherence in amalgamated algebra along an ideal
• ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS
• Bi-amalgamations subject to the arithmetical property
• On (A)-rings and strong (A)-rings issued from amalgamations
• CPI-Extensions: Overrings of Integral Domains with Special Prime Spectrums
• Unique factorization rings with zero divisors
• Prüfer Conditions in an Amalgamated Duplication of a Ring Along an Ideal

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