Existence and uniqueness of S -primary decomposition in S -Noetherian modules

DOI10.1080/00927872.2024.2350598MaRDI QIDQ6600726

Unnamed Author, Shiv Datt Kumar, Unnamed Author

Publication date: 10 September 2024

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

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Extension theory of commutative rings (13B02) Module categories and commutative rings (13C60)

Cites Work

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• \(S\)-prime ideals of a commutative ring
• The Laskerian property in commutative rings
• Idealtheorie in Ringbereichen.
• On the theory of modules and ideals.
• Some results on \(S\)-primary ideals of a commutative ring
• Modules Satisfying the S-Noetherian Property and S-ACCR
• Modules with Noetherian Spectrum
• On right S-Noetherian rings and S-Noetherian modules
• S-NOETHERIAN RINGS
• On S-primary submodules
• S-primary ideals of a commutative ring
• On S-prime submodules
• S-secondary submodules of a module
• The primary decomposition theory for modules

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