Prime avoidance property

DOI10.1142/S0219498822500347zbMath1485.13005arXiv2010.03248OpenAlexW3092144153MaRDI QIDQ5073317

Alborz Azarang

Publication date: 6 May 2022

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

Full work available at URL: https://arxiv.org/abs/2010.03248

zbMATH Keywords

prime idealavoidance property

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (1)

On weakly 2-prime ideals in commutative rings

Cites Work

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• On the functionally countable subalgebra of \(C(X)\)
• Baire's category theorem and prime avoidance in complete local rings
• The minimal prime spectrum of a reduced ring
• Almost Bézout domains
• Finite unions of overrings of an integral domain
• On Maximal Subrings of Commutative Rings
• Most Commutative Rings Have Maximal Subrings
• ON THE EXISTENCE OF MAXIMAL SUBRINGS IN COMMUTATIVE ARTINIAN RINGS
• SOME REMARKS ON PRINCIPAL PRIME IDEALS
• Infinite coverings of ideals by cosets with applications to regular sequences and balanced big Cohen–Macaulay modules
• A Note on Finite Unions of Ideals and Subgroups
• Finite Unions of Ideals and Modules
• A Note on Minimal Prime Ideals
• The Space of Maximal Subrings of a Commutative Ring
• The Prime Avoidance Lemma Revisited
• On the existence of maximal subrings in commutative noetherian rings
• A Covering Condition for Prime Ideals
• Sur la compacité du spectre minimal d'un anneau
• Integral domains with quotient overrings

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