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The Prime Avoidance of Ideals in Noetherian Hilbert Rings - MaRDI portal

The Prime Avoidance of Ideals in Noetherian Hilbert Rings

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Publication:4304227

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DOI10.1080/00927879408825116zbMath0812.13001OpenAlexW2047582214MaRDI QIDQ4304227

Vahap Erdogdu

Publication date: 10 October 1994

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879408825116

zbMATH Keywords

polynomial ring Krull dimension Hilbert ring Noetherian ring Artinian ring coprimely packed ideal

Mathematics Subject Classification ID

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) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

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Commutative rings whose prime ideals are radically perfect

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