绝对浅表序列
Absolutely superficial sequences
摘要：
P. Schenzel为了研究广义Cohen-Macaulay（resp. Buchsbaum）模块。对于任意的局部环，它们都是d-序列。建立了关于模的绝对表列的性质。结果表明，它们与广义Cohen-Macaulay理论中的其它序列（分别为Buchsbaum）模块。特别地，每个参数理想的希尔伯特-塞缪尔函数都有一个边界函数，当且仅当该理想是由一个绝对表面序列生成的。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
