Good ideals in Artinian Gorenstein local rings obtained by idealization.

DOI10.3836/tjm/1244208868zbMath1091.13508OpenAlexW2005943873MaRDI QIDQ1812502

Satoshi Haraikawa, Shiro Goto

Publication date: 2002

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208868

zbMATH Keywords

associated graded ringgood ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) 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)

Related Items (1)

Idealization of a module

Cites Work

• On graded rings. I
• Good ideals in Gorenstein local rings
• Good ideals in Gorenstein local rings obtained by idealization
• The Converse to a Theorem of Sharp on Gorenstein Modules

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