Invertible Spectra in the E(n)‐Local Stable Homotopy Category
Invertible Spectra in the E(n)‐Local Stable Homotopy Category
复制标题
E(n)-局域稳定同伦范畴中的可逆谱
DOI：
10.1112/s0024610799007784
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
Hal Sadofsky
中科院分区：
文献类型：
--
作者：
Mark Hovey;Hal Sadofsky
假设C是一个具有对称么半群结构的范畴，我们称之为smash积。则Picard范畴是C中在Smash积下有逆的对象的全子范畴，Picard群Pic（C）是这类可逆对象的同构类的集合。皮卡德群一般不需要是一个集合，但如果它是，那么它就是一个与C正则相关的阿贝尔群。
Suppose C is a category with a symmetric monoidal structure, which we will refer to as the smash product. Then the Picard category is the full subcategory of objects which have an inverse under the smash product in C, and the Picard group Pic(C) is the collection of isomorphism classes of such invertible objects. The Picard group need not be a set in general, but if it is then it is an abelian group canonically associated with C.