Trivial Ring Extensions Defined by Arithmetical-Like Properties

DOI10.1080/00927872.2012.705932zbMath1302.13015OpenAlexW2010277119MaRDI QIDQ2863665

Mohammed Kabbour, Najib Mahdoua, Abdeslam Mimouni

Publication date: 25 November 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.705932

zbMATH Keywords

Bézout ringelementary divisor ringHermite ringarithmetical ring and trivial ring extension

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (5)

Bi-amalgamations subject to the arithmetical property ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Trivial extensions subject to semi-regularity and semi-coherence

Cites Work

• Unnamed Item
• Idealization of a module
• Trivial extensions defined by Prüfer conditions
• Beiträge zur Arithmetik kommutativer Integritätsbereiche. I: Multiplikationsringe, ausgezeichnete Idealsysteme und Kroneckersche Funktionalringe
• Über die Ideale arithmetischer Ringe
• On Valuation Rings
• Untersuchungen über Teilbarkeitseigenschaften in Körpern.
• The weak dimensions of Gaussian rings
• Arithmetical rings
• Prüfer rings with zero divisors.
• Prüfer rings

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