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• W2978856803 abstract "Let $R$ be a Noetherian ring. We prove that $R$ has global dimension at most two if, and only if, every prime ideal of $R$ is of linear type. Similarly, we show that $R$ has global dimension at most three if, and only if, every prime ideal of $R$ is syzygetic. As a consequence, one derives a characterization of these rings using the Andre-Quillen homology." @default.
• W2978856803 created "2019-10-10" @default.
• W2978856803 creator A5078655821 @default.
• W2978856803 date "2019-10-03" @default.
• W2978856803 modified "2023-09-27" @default.
• W2978856803 title "Noetherian rings of low global dimension and syzygetic prime ideals" @default.
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• W2978856803 hasPublicationYear "2019" @default.
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