Absolutely superficial sequences

Preprint

23 February 2014

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.1402.5577

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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All Related Versions

Version 1, 2014-02-23, ArXiv
Published version: Mathematical Proceedings of the Cambridge Philosophical Society, 93 (1), 35.

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