Unique decomposition into ideals for reduced commutative Noetherian rings. II.

DOI10.1016/j.jpaa.2011.10.008zbMath1253.13002OpenAlexW1979550890MaRDI QIDQ425275

Basak Ay Saylam

Publication date: 8 June 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.10.008

zbMATH Keywords

reduced ringsunique decomposition of modules into ideals

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Other special types of modules and ideals in commutative rings (13C13) Divisibility and factorizations in commutative rings (13A05)

Related Items

Unique decomposition into ideals for commutative Noetherian rings, Unique decompositions into w-ideals for strong Mori domains

Cites Work

• Krull-Schmidt and cancellation over local rings
• Finite rank torsion free Abelian groups and rings
• 1-dimensional Cohen-Macaulay rings
• Unique decomposition into ideals for reduced commutative Noetherian rings
• Unique decompositions into ideals for noetherian domains.
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