Sally modules of canonical ideals in dimension one and 2-AGL rings

DOI10.1016/j.jalgebra.2018.11.023zbMath1454.13043arXiv1704.00997OpenAlexW2610239719WikidataQ128749595 ScholiaQ128749595MaRDI QIDQ1755567

Shiro Goto, Naoyuki Matsuoka, Tran Do Minh Chau, Shinya Kumashiro

Publication date: 10 January 2019

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

Full work available at URL: https://arxiv.org/abs/1704.00997

zbMATH Keywords

Cohen-Macaulay ringGorenstein ringRees algebraSally modulecanonical ideal2-AGL ringAGL ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (12)

Rings with canonical reductions ⋮ Ulrich ideals and 2-AGL rings ⋮ The reduction number of canonical ideals ⋮ When are trace ideals finite? ⋮ Reflexive modules over the endomorphism algebras of reflexive trace ideals ⋮ When is \(\mathfrak{m}:\mathfrak{m}\) an almost Gorenstein ring? ⋮ Almost Symmetric Numerical Semigroups with Odd Generators ⋮ Dilatations of numerical semigroups ⋮ Almost canonical ideals and GAS numerical semigroups ⋮ The structure of chains of Ulrich ideals in Cohen-Macaulay local rings of dimension one ⋮ Almost Gorenstein rings arising from fiber products ⋮ When is $R \ltimes I$ an almost Gorenstein local ring?

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