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An extension of S-artinian rings and modules to a hereditary torsion theory setting

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Publication:5856783
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DOI10.1080/00927872.2020.1841786zbMath1459.13013arXiv2101.10171OpenAlexW3109336326MaRDI QIDQ5856783

Pascual Jara

Publication date: 29 March 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.10171


zbMATH Keywords

Artinian ring and moduleNoetherian ring and module


Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)


Related Items (2)

An extension of $S$--noetherian rings and modules ⋮ Generalization of Artinian rings and the formal power series rings




Cites Work

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  • \(S\)-Noetherian properties on amalgamated algebras along an ideal
  • Properties of uppers to zero in R[x]
  • A Note on S-Noetherian Domains
  • Strongly prime ideals and strongly zero-dimensional rings
  • S-Noetherian spectrum condition
  • S-NOETHERIAN RINGS
  • S-Artinian rings and finitely S-cogenerated rings
  • Endomorphism Rings of Torsionless Modules




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