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 |
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doaj-c25f461fbfa9492bae4840a49281a73e |
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Article |
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doaj-c25f461fbfa9492bae4840a49281a73e2020-11-25T00:05:23ZengAccademia Peloritana dei PericolantiAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali0365-03591825-12422004-01-01LXXXI-LXXXII1c1a040100710.1478/c1a0401007A remark on proper sequences of modulesRinaldo, GA 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 http://dx.doi.org/10.1478/c1a0401007 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Rinaldo, G |
| spellingShingle |
Rinaldo, G A remark on proper sequences of modules Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali |
| author_facet |
Rinaldo, G |
| author_sort |
Rinaldo, G |
| title |
A remark on proper sequences of modules |
| title_short |
A remark on proper sequences of modules |
| title_full |
A remark on proper sequences of modules |
| title_fullStr |
A remark on proper sequences of modules |
| title_full_unstemmed |
A remark on proper sequences of modules |
| title_sort |
remark on proper sequences of modules |
| publisher |
Accademia Peloritana dei Pericolanti |
| series |
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali |
| issn |
0365-0359 1825-1242 |
| publishDate |
2004-01-01 |
| description |
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 |
| url |
http://dx.doi.org/10.1478/c1a0401007 |
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AT rinaldog aremarkonpropersequencesofmodules AT rinaldog remarkonpropersequencesofmodules |
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1725425354129014784 |