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arXiv · 1402.5577

Absolutely superficial sequences

Ngo Viet Trung
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Abstract

Absolutely superficial sequences was introduced by P. Schenzel in order to study generalized Cohen-Macaulay (resp. Buchsbaum) modules. For an arbitrary local ring, they turned out to be d-sequences. This paper established properties of absolutely superficial sequences with respect to a module. It is shown that they are closely related to other sequences in the theory of generalized Cohen-Macaulay (resp. Buchsbaum) modules. In particular, there is a bounding function for the Hilbert-Samuel function of every parameter ideal such that this bounding function is attained if and only if the ideal is generated by an absolutely superficial sequence.

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Ngo Viet Trung. 2014-02-23. Absolutely superficial sequences. https://doi.org/10.1017/s0305004100060308

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