论文标题
Steenrod问题和一些分级Stanley-Reisner Rings
Steenrod problem and some graded Stanley-Reisner rings
论文作者
论文摘要
``什么样的戒指可以表示为空间的奇异共同体戒指？''是由Steenrod提出的代数拓扑中的经典问题。在本文中，当环是分级的史丹利 - 赖斯纳环时，我们考虑了这个问题，换句话说，多项式环除以无方形单元产生的理想。在某些假设下，我们给出了必要且充分的条件，即标准的史丹利 - 赖斯纳环是可以实现的。
``What kind of ring can be represented as the singular cohomology ring of a space?'' is a classic problem in algebraic topology, posed by Steenrod. In this paper, we consider this problem when rings are the graded Stanley-Reisner rings, in other words the polynomial rings divided by an ideal generated by square-free monomials. Under some assumption, we give a necessary and sufficiently condition that a graded Stanley-Reisner ring is realizable.
