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- W1523814953 abstract "Let $R$ be a Noetherian commutative ring, $langle a_1,dots, a_nrangle$ a sequence of elements of $R$, $I=(a_1,dots,a_n)$ the ideal generated by the elements $a_i$ and $I_i=(a_1,dots,a_i)$, $i=0,1,dots, n$, the ideal generated by the first $i$ elements of the sequence. A c-sequence is a sequence $langle a_1,dots, a_nrangle$ which satisfies the condition [ [I_{i-1}I^k : a_i] cap I^k=I_{i-1}I^{k-1} ] for every $i in{1, dots, n}$ and every $kgeq1$. It generates an ideal of linear type. We characterize c-sequences in terms of the corresponding sequences in the Rees algebra of the ideal generated by the elements of the sequence. We then characterize monomial c-sequences of three terms." @default.
- W1523814953 created "2016-06-24" @default.
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- W1523814953 date "2008-12-01" @default.
- W1523814953 modified "2023-09-26" @default.
- W1523814953 title "Monomial sequences of linear type" @default.
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- W1523814953 doi "https://doi.org/10.1215/ijm/1258554358" @default.
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