Factorization and irreducibility in modules

DOI10.1007/978-981-16-8422-7_3zbMath1497.13005OpenAlexW4240037377MaRDI QIDQ2089464

H. E. Bruch, A. A. Altidor, Jason R. Juett

Publication date: 22 October 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-8422-7_3

zbMATH Keywords

factorizationirreducibilitymoduleatomicity

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05) Theory of modules and ideals in commutative rings (13C99)

Cites Work

• Factorization in integral domains
• Factorial modules
• Weakly prime modules.
• Factorization in commutative rings with zero divisors
• Verallgemeinerte Abelsche Gruppen mit hyperkomplexem Operatorenring
• Unique Factorization in Modules and Symmetric Algebras
• Unique Factorization Rings with Zero Divisors
• Unique factorization rings with zero divisors
• Unique Factorization in Torsion-Free Modules
• Gauss' Lemma
• Modules Over Dedekind Rings and Valuation Rings
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