A Schreier-type property for modules

DOI10.1142/s0219498824501251arXiv2204.09784OpenAlexW4319083144MaRDI QIDQ6192156

Tiberiu Dumitrescu, Mihai Epure

Publication date: 11 March 2024

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

Full work available at URL: https://arxiv.org/abs/2204.09784

zbMATH Keywords

torsion-free moduleSchreier domainfactorial modulepre-Schreier domainfactorable module

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) Injective and flat modules and ideals in commutative rings (13C11)

Cites Work

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• Foundations of commutative rings and their modules
• Factorization in integral domains
• Splitting the t-class group
• Factorial modules
• Almost-Schreier Domains
• Direct Products of Modules
• Reduction of modules
• On a property of pre-schreier domains
• Unique Factorization in Modules and Symmetric Algebras
• Schreier Rings
• Unique Factorization in Torsion-Free Modules
• Almost Quasi-Schreier Domains
• Autour de la platitude
• Quasi-Schreier Domains II

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