An extension of $S$--noetherian rings and modules

DOI10.24330/ieja.1300716zbMath1528.13016arXiv2011.03008OpenAlexW3096765493MaRDI QIDQ6047982

Pascual Jara

Publication date: 13 September 2023

Published in: International Electronic Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.03008

zbMATH Keywords

polynomial ringformal power series ringhereditary torsion theoryNoetherian ring and module

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Torsion theory for commutative rings (13D30)

Cites Work

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• \(S\)-Noetherian properties on amalgamated algebras along an ideal
• Properties of uppers to zero in R[x]
• Strongly 0-Dimensional Rings
• A Note on S-Noetherian Domains
• Generic Fiber of Power Series Ring Extensions
• Cohen’s theorem and eakin-nagata theorem revisited
• S-Noetherian spectrum condition
• S-NOETHERIAN RINGS
• S-Artinian rings and finitely S-cogenerated rings
• Endomorphism Rings of Torsionless Modules
• An extension of S-artinian rings and modules to a hereditary torsion theory setting