Commutative rings with invertible-radical factorization

DOI10.1142/S0219498822501535zbMath1498.13018arXiv1911.02544OpenAlexW3146035835MaRDI QIDQ5100103

Malik Tusif Ahmed, Youssef Zahir, Najib Mahdoua

Publication date: 29 August 2022

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

Full work available at URL: https://arxiv.org/abs/1911.02544

zbMATH Keywords

trivial ring extensionamalgamated duplication of ring along an idealISP-ringSpecial ideal factorizationsstrongly ISP-ring

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Integral dependence in commutative rings; going up, going down (13B21) Commutative ring extensions and related topics (13B99)

Cites Work

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• SP-rings with zero-divisors
• SP-domains are almost Dedekind --- a streamlined proof
• Factorization into prime and invertible ideals II
• Prüfer rings with zero divisors.
• A generalization of almost Dedekind domains.

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