Graded pseudo-valuation domains

DOI10.1080/00927872.2020.1766057zbMath1451.13002OpenAlexW3033063614MaRDI QIDQ5119183

Chahrazade Bakkari, Malik Tusif Ahmed, Abdelkbir Riffi, Najib Mahdoua

Publication date: 3 September 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1766057

zbMATH Keywords

pseudo-valuation domainsgraded valuation domainsgraded pseudo-valuation domainsstrongly homogeneous prime ideals

Mathematics Subject Classification ID

Graded rings (13A02) Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (4)

Graded almost pseudo-valuation domains ⋮ Graded powerful ideals in a graded integral domain ⋮ On graded pseudo-valuation domains ⋮ A characterization of graded pseudo-valuation domains

Cites Work

• Locally pseudo-valuation domains
• The graded ring \(R[X_1,\dots,X_n\)
• Integral closure and generalized transforms in graded domains
• Pseudo-valuation domains
• Noetherian properties in monoid rings.
• Overrings and divisorial ideals of rings of the form \(D+M\)
• Two conductor theorems
• Divisibility Properties of Graded Domains
• On the Weak Global Dimension of Pseudovaluation Domains
• Pairs of Rings with the Same Prime Ideals
• On domains which have prime ideals that are linearly ordered
• Graded-valuation domains
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