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U-factorizations in Commutative Rings with Zero Divisors

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Publication:4534138
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DOI10.1081/AGB-120004871zbMath1046.13002OpenAlexW4242793534MaRDI QIDQ4534138

Michael Axtell

Publication date: 2002

Full work available at URL: https://doi.org/10.1081/agb-120004871


zbMATH Keywords

factorizationirreducible elementidealizationatomic ringfinite factorization ring


Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05)


Related Items (8)

Idealization of a module ⋮ \(\tau\)-regular factorization in commutative rings with zero-divisors ⋮ Survey article: Graphical representations of factorizations in commutative rings ⋮ U-factorization of ideals ⋮ Unnamed Item ⋮ Associates, irreducibility, and factorization length in monoid rings with zero divisors ⋮ Generalized power series with a limited number of factorizations ⋮ Finite factorization properties in commutative monoid rings with zero divisors




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