Amalgamated algebras issued from \(\phi\)-chained rings and \(\phi\)-pseudo-valuation rings

DOI10.1007/s41980-020-00461-yzbMath1475.13015OpenAlexW3089080226MaRDI QIDQ2245934

Abdelhaq El Khalfi, Hwankoo Kim, Najib Mahdoua

Publication date: 15 November 2021

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-020-00461-y

zbMATH Keywords

valuation ringpseudo-valuation ringtrivial ring extensionamalgamated algebrachained ring

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Integral dependence in commutative rings; going up, going down (13B21)

Related Items (1)

On nonnil-coherent modules and nonnil-Noetherian modules

Cites Work

• Chain conditions in amalgamated algebras along an ideal
• Idealization of a module
• A construction of Gorenstein rings
• The amalgamated duplication of a ring along a multiplicative-canonical ideal
• Properties of chains of prime ideals in an amalgamated algebra along an ideal
• Trivial extensions defined by Prüfer conditions
• Commutative coherent rings
• Divided rings and going-down
• Pseudo-valuation domains
• New Algebraic Properties of an Amalgamated Algebra Along an Ideal
• Trivial Extensions Defined by Coherent-like Conditions
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• Amalgamated algebras along an ideal
• On divided commutative rings
• On Nonnil-Noetherian Rings
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