A remark on proper sequences of modules

Giancarlo Rinaldo


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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DOI: http://dx.doi.org/10.1478/C1A0401007