摘要
本文主要利用偏序集的同调方法，给出任意两个分层偏序集的等价分类映射概念；证明了该映射是保Cohen-Macaulay性质的．本文的结论部份回答了B．Stechin[1]的问题，同时推广了词偏序集的Mobins函数的符号交错性．
The present paper introduces a concept of equivient classfying mapping connecting two graded partially ordered set (Poset, for short). With help of theory of homology,we show that this mapping is just Cohen-Macaulay perseving, i.e., if the domain of it isCohen-Macaulayt then the codomain is also Cohen-Macaulay. This result implies that theMobius function of Word-Poset is alternating in sign, as obtained by A. Bjorner[2].
出处
《应用数学学报》
CSCD
北大核心
1997年第3期431-437,共7页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金
