论文标题
在扭曲产品和Tori上的Loday结构
Loday constructions on twisted products and on tori
论文作者
论文摘要
在涉及的组是恒定的简单基团的情况下，我们针对Loday构建体的同质构造的同型组开发了光谱序列。我们表明，对于交换性Hopf代数光谱仪是稳定的，这是Berest，Ramadoss和Yeung的概括。我们证明，通过研究它们的圆环同源性，几个截短的多项式环不会在多重稳定上稳定。
We develop a spectral sequence for the homotopy groups of Loday constructions with respect to twisted products in the case where the group involved is a constant simplicial group. We show that for commutative Hopf algebra spectra Loday constructions are stable, generalizing a result by Berest, Ramadoss and Yeung. We prove that several truncated polynomial rings are not multiplicatively stable by investigating their torus homology.
