Ulrich ideals and almost Gorenstein rings

DOI10.1090/proc/12970zbMath1338.13043arXiv1507.04556OpenAlexW2963146802MaRDI QIDQ2802103

Naoki Taniguchi, Shiro Goto, Ryo Takahashi

Publication date: 25 April 2016

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

Full work available at URL: https://arxiv.org/abs/1507.04556

zbMATH Keywords

Cohen-Macaulay ringalmost Gorenstein ringUlrich ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (11)

Rings with canonical reductions ⋮ Ulrich ideals and 2-AGL rings ⋮ The Auslander-Reiten conjecture for certain non-Gorenstein Cohen-Macaulay rings ⋮ On the theory of generalized Ulrich modules ⋮ Reflexive modules over the endomorphism algebras of reflexive trace ideals ⋮ The structure of Ulrich ideals in hypersurfaces ⋮ The structure of chains of Ulrich ideals in Cohen-Macaulay local rings of dimension one ⋮ Nearly Gorenstein cyclic quotient singularities ⋮ Residually faithful modules and the Cohen-Macaulay type of idealizations ⋮ Ulrich ideals in numerical semigroup rings of small multiplicity ⋮ Almost Gorenstein rings arising from fiber products

Cites Work

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• ULRICH IDEALS AND MODULES OVER TWO-DIMENSIONAL RATIONAL SINGULARITIES
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Generators and Dimensions of Derived Categories of Modules
• On G-Regular Local Rings
• Ulrich ideals and modules

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