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- W2093644300 abstract "Let A be a Noetherian local ring containing a field of characteristic zero. It was proved recently by Seibt (51 that if A is complete and P is a maximally differential prime ideal of A, then P is permissible in .4 (see Section 1 for terminology). In fact, Seibt has claimed this result for a more general class of rings but, as we point out in Remark 2.9, the proof given by him is valid only if A is complete or dim A/P < 1. Seibt has also given 15, Example 1.31 to show that the converse of the above result does not hold. Although this example is incorrect (because the prime ideal considered in the example is not permissible)? it is true that the converse does not hold. This is seen easily from our description of maximally differential prime ideals given in Theorem 2.6; however. see [4] for a specific example. The main result of this paper is" @default.
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- W2093644300 date "1983-06-01" @default.
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- W2093644300 title "Maximally differential prime ideals in a complete local ring" @default.
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- W2093644300 doi "https://doi.org/10.1016/0021-8693(83)90153-9" @default.
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