When is $R \ltimes I$ an almost Gorenstein local ring?

DOI10.1090/proc/13835zbMath1427.13029arXiv1704.05961OpenAlexW2609202670MaRDI QIDQ3132776

Shinya Kumashiro, Shiro Goto

Publication date: 30 January 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05961

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Regular local rings (13H05)

Related Items (7)

The reduction number of canonical ideals ⋮ On almost p-standard system of parameters of idealization and applications ⋮ On the partial Euler-Poincaré characteristics of Koszul complexes of idealization ⋮ Almost canonical ideals and GAS numerical semigroups ⋮ Sally modules of canonical ideals in dimension one and 2-AGL rings ⋮ Residually faithful modules and the Cohen-Macaulay type of idealizations ⋮ Almost Gorenstein rings arising from fiber products

Cites Work

• Unnamed Item
• The almost Gorenstein Rees algebras over two-dimensional regular local rings
• Almost Gorenstein rings
• One-dimensional almost Gorenstein rings
• Sally modules of canonical ideals in dimension one and 2-AGL rings
• Almost Gorenstein rings - towards a theory of higher dimension
• When are the Rees algebras of parameter ideals almost Gorenstein graded rings?
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Maximally generated Cohen-Macaulay modules.
• Finite homological dimension and primes associated to integrally closed ideals
• On G-Regular Local Rings
• The Converse to a Theorem of Sharp on Gorenstein Modules
• On the almost Gorenstein property of determinantal rings
• The almost Gorenstein Rees algebras of parameters

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