On 1-absorbing primary ideals of commutative rings

DOI10.1142/S021949882050111XzbMath1440.13008arXiv2008.00286OpenAlexW3099140081WikidataQ114614652 ScholiaQ114614652MaRDI QIDQ3298356

Ayman Badawi, Ece Yetkin Celikel

Publication date: 14 July 2020

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

Full work available at URL: https://arxiv.org/abs/2008.00286

zbMATH Keywords

prime idealprimary ideal2-absorbing idealweakly prime idealweakly semiprime ideal\(n\)-absorbing ideal2-absorbing primary idealweakly primary ideal1-absorbing primary idealweakly 2-absorbing primary ideal

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (16)

Graded 1-absorbing prime ideals of graded commutative rings ⋮ On S-1-absorbing prime and weakly S-1-absorbing prime ideals ⋮ Unnamed Item ⋮ Graded weakly 1-absorbing prime ideals ⋮ On weakly 1-absorbing prime ideals ⋮ Some notes on graded weakly 1-absorbing primary ideals ⋮ On (1,r)-ideals of commutative rings ⋮ On weakly 1-absorbing primary submodules ⋮ Amalgamated algebras along an ideal defined by 1-absorbing-like conditions ⋮ On \((m, n)\)-absorbing prime ideals and \((m, n)\)-absorbing ideals of commutative rings ⋮ Absorbing Ideals in Commutative Rings: A Survey ⋮ On two conjectures concerning (n−1,n)-weakly prime ideals in commutative rings ⋮ Rings over which every semi-primary ideal is 1-absorbing primary ⋮ On 1-absorbing prime ideals of commutative rings ⋮ On graded 1-absorbing prime ideals ⋮ Unnamed Item

Cites Work

• ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS
• Onn-Absorbing Ideals of Commutative Rings
• On 2-absorbing ideals of commutative rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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