A remark on proper sequences of modules
A bound for the depth of a quotient of the symmetric algebra, S(E), of a finitely generated module E, over a C.M. ring by an ideal of S(E) generated by a subsequence of x1, . . . , xn is obtained in the case when E satisfies the sliding depth condition, with maximal irrelevant ideal generated by a p...
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| Format: | Article |
| Language: | English |
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Accademia Peloritana dei Pericolanti
2004-01-01
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| Series: | Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali |
| Online Access: | http://dx.doi.org/10.1478/c1a0401007 |
| Summary: | A bound for the depth of a quotient of the symmetric algebra, S(E), of a finitely generated module E, over a C.M. ring by an ideal of S(E) generated by a subsequence of x1, . . . , xn is obtained in the case when E satisfies the sliding depth condition, with maximal irrelevant ideal generated by a proper sequence x1, . . . , xn in E |
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| ISSN: | 0365-0359 1825-1242 |