Subrings of the first neighbourhood ring

DOI10.1017/S0305004100056012zbMath0416.13003OpenAlexW4233887723MaRDI QIDQ3205341

David Kirby

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1017/s0305004100056012

zbMATH Keywords

complete intersectionextension ringsfirst neighbourhood ringone-dimensional Macaulay-Cohen local ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Extension theory of commutative rings (13B02) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Formal neighborhoods in algebraic geometry (14B20)

Cites Work

• On the ubiquity of Gorenstein rings
• The Multiplicity and Reduction Number of a One-Dimensional Local Ring
• HILBERT'S FUNCTION IN A LOCAL RING

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