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- W2944131203 abstract "We introduce the notion of Burch ideals and Burch rings. They are easy to define, and can be viewed as generalization of many well-known concepts, for example integrally closed ideals of finite colength and Cohen--Macaulay rings of minimal multiplicity. We give several characterizations of these objects. We show that they satisfy many interesting and desirable properties: ideal-theoretic, homological, categorical. We relate them to other classes of ideals and rings in the literature." @default.
- W2944131203 created "2019-05-16" @default.
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- W2944131203 date "2019-05-06" @default.
- W2944131203 modified "2023-09-27" @default.
- W2944131203 title "Burch ideals and Burch rings" @default.
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- W2944131203 doi "https://doi.org/10.48550/arxiv.1905.02310" @default.
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