The structure of Ulrich ideals in hypersurfaces

DOI10.1016/j.jpaa.2020.106626zbMath1455.13025arXiv1905.02048OpenAlexW3105984530MaRDI QIDQ1996062

Ryotaro Isobe

Publication date: 3 March 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02048

zbMATH Keywords

Cohen-Macaulay ringminimal free resolutionmatrix factorizationUlrich idealhypersurface ringUlrich module

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Syzygies, resolutions, complexes and commutative rings (13D02)

Cites Work

• Unnamed Item
• Homology of Noetherian rings and local rings
• On graded rings. I
• Cohen-Macaulay local rings of maximal embedding dimension
• The structure of chains of Ulrich ideals in Cohen-Macaulay local rings of dimension one
• Ulrich ideals and 2-AGL rings
• Good ideals in Gorenstein local rings
• Ulrich ideals and almost Gorenstein rings
• ULRICH IDEALS AND MODULES OVER TWO-DIMENSIONAL RATIONAL SINGULARITIES
• Maximally generated Cohen-Macaulay modules.
• Ulrich ideals and modules