Rings in which every nonzero weakly prime ideal is prime

DOI10.1007/s40863-020-00172-6zbMath1451.13024OpenAlexW3033971360WikidataQ107197622 ScholiaQ107197622MaRDI QIDQ2211231

Youssef Zahir, Abdelhaq El Khalfi, Najib Mahdoua

Publication date: 13 November 2020

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-020-00172-6

zbMATH Keywords

trivial ring extensionamalgamation of rings along an idealWP-ring

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Integral dependence in commutative rings; going up, going down (13B21)

Related Items (2)

On weakly 2-prime ideals in commutative rings ⋮ Weakly prime ideals issued from an amalgamated algebra

Cites Work

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• Idealization of a module
• A construction of Gorenstein rings
• Properties of chains of prime ideals in an amalgamated algebra along an ideal
• Trivial extensions defined by Prüfer conditions
• New Algebraic Properties of an Amalgamated Algebra Along an Ideal
• Trivial Extensions Defined by Coherent-like Conditions
• Unique Factorization Rings with Zero Divisors
• Unique factorization rings with zero divisors

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