Gaussian Polynomials and Content Ideal in Pullbacks

DOI10.1080/00927870600651695zbMath1101.13010OpenAlexW2124140975MaRDI QIDQ5489250

Chahrazade Bakkari, Najib Mahdoua

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600651695

zbMATH Keywords

Gaussian polynomialcontent ideallocally principal ideals

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Polynomials over commutative rings (13B25) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (2)

Prüfer-Like Conditions in Subring Retracts and Applications ⋮ Armendariz and SFT properties in subring retracts

Cites Work

• Unnamed Item
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Topologically defined classes of commutative rings
• Commutative coherent rings
• The content of Gaussian polynomials
• Coherentlike conditions in pullbacks
• Generic Gaussian ideals
• Content formulas for polynomials and power series and complete integral closure
• Trivial Extensions Defined by Coherent-like Conditions
• A generalized Dedekind-Mertens lemma and its converse
• Gaussian polynomials and content ideals
• The Dedekind-Mertens Lemma and the contents of polynomials
• The Dedekind-Mertens lemma and the contents of polynomials
• The content of a Gaussian polynomial is invertible

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