关于(m,n)-主弱平坦序S-系

On(m,n)-Principally Weakly Flat S-Posets

设S是序幺半群,m,n为正整数.给出了主弱平坦序S-系的一个推广,称之为(m,n)-主弱平坦系.在此新性质的基础上研究了序S-系的同调分类问题,作为应用,推广了一些重要结果.

Let S be a pomonoid and m,n be positive integrals. In this paper, we give a generalization of principally weakly flat S-poset and call it （m, n）-principally weakly flat poser. On this new property, the homological classification problems of S-posets are investigated. As applications, some known results are extended.