On the ideal avoidance property

DOI10.1016/j.jpaa.2023.107500arXiv2203.04256OpenAlexW4385605079MaRDI QIDQ6057746

Justin Chen, Abolfazl Tarizadeh

Publication date: 26 October 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.04256

zbMATH Keywords

avoidance ringgeneralized prime avoidance lemmaideal avoidance property (avoidance ideal)

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Relevant commutative algebra (14A05)

Cites Work

• Unnamed Item
• On the direct summand conjecture and its derived variant
• The direct factor conjecture
• Avoidance and absorbance
• Gabriel localizations with applications to flat epimorphisms of rings
• A Note on Finite Unions of Ideals and Subgroups
• Finite Unions of Ideals and Modules
• Cyclic Purity Versus Purity in Excellent Noetherian Rings
• Ideal powers in intersections of finite coverings by ideals
• Finite type epimorphisms of rings
• On Finite Unions of Submodules
• Overrings of Bezout Domains

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