Hilbert rings and G(oldman)-rings issued from amalgamated algebras

DOI10.1142/S0219498818500238zbMath1397.13006MaRDI QIDQ4602090

Omar Ouzzaouit, Lahoucine Izelgue

Publication date: 26 January 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Hilbert ringamalgamated duplication\(G\)-domain\(G\)-ringNagata's idealization

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Divisibility and factorizations in commutative rings (13A05) Commutative ring extensions and related topics (13B99)

Related Items (1)

FMR-rings in some distinguished constructions

Cites Work

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• Some homological properties of amalgamated duplication of a ring along an ideal
• Homological dimensions of the amalgamated duplication of a ring along a pure ideal
• Which fields have no maximal subrings?
• Idealization of a module
• Properties of chains of prime ideals in an amalgamated algebra along an ideal
• A non-Noetherian two-dimensional Hilbert domain with principal maximal ideals
• Zero-divisor graphs of amalgamated duplication of a ring along an ideal
• The pseudo-radical of a commutative ring
• Hilbert rings and the Hilbert Nullstellensatz
• Jacobsonsche Ringe, Hilbertscher Nullstellensatz, Dimensionstheorie
• New Algebraic Properties of an Amalgamated Algebra Along an Ideal
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• Amalgamated algebras along an ideal
• Hilbert Rings Arising as Pullbacks
• Rings with A Finitely Generated Total Quotient Ring
• CPI-Extensions: Overrings of Integral Domains with Special Prime Spectrums
• Unruly Hilbert Domains
• Various Facets of Rings BetweenD[X andK[X]]

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