Associated prime ideals of the dual of an artinian module relative to an injective module

DOI10.1080/00927879408824984zbMath0816.13002OpenAlexW1994316019MaRDI QIDQ4293765

Ikuo Nishitani

Publication date: 7 July 1994

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

Full work available at URL: https://doi.org/10.1080/00927879408824984

zbMATH Keywords

asymptotic behaviourprimary decompositionassociated prime idealinjective moduleartinian module

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (7)

Asymptotic prime ideals related to exact functors ⋮ On the dual of Burch's inequality ⋮ A generalized matlis duality for certain topological rings ⋮ Asymptotic associated and attached prime ideals related to projective modules ⋮ Associated and coassociated primes ⋮ Weakly associated primes under change of rings ⋮ Unnamed Item

Cites Work

• Asymptotic attached prime ideals related to injective modules
• Unnamed Item
• Unnamed Item

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