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Domains with invertible-radical factorization

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Publication:4571108
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zbMath1396.13002arXiv1612.01477MaRDI QIDQ4571108

Tiberiu Dumitrescu, Malik Tusif Ahmed

Publication date: 6 July 2018

Full work available at URL: https://arxiv.org/abs/1612.01477


zbMATH Keywords

Prüfer domainSP-domainZPUI-domain


Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)


Related Items (3)

Commutative rings with invertible-radical factorization ⋮ Commutative rings with absorbing factorization ⋮ Ideal factorization in strongly discrete independent rings of Krull type




Cites Work

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  • Factoring ideals in integral domains
  • The construction \(D+XD_s[X\)]
  • Globalizing local properties of Prüfer domains
  • Factoring ideals in Prüfer domains
  • Factoring Ideals into Semiprime Ideals
  • Semiprime factorizations in unions of Dedekind domains.
  • Factorization into Prime and Invertible Ideals
  • SP-rings with zero-divisors
  • Factorization into prime and invertible ideals II
  • Remarks on generalized rings of quotients
  • Generalized Quotient Rings




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