加法范畴的回路范畴与η-扩张
发布时间：2019-04-03 10:05
【摘要】：设A是加法范畴,在定义范畴A的η-扩张基础上,得到加法范畴的η-扩张的不变性,进而得到范畴A的回路范畴与η-扩张交换性,即有加法范畴等价Ω(A(η))≌(ΩA)(η→).最后将主定理应用到环R上的模范畴,得到环R与其扩张环的K_1群的一个结果.
[Abstract]:Let A be an additive category, on the basis of defining 畏-extension of category A, the invariance of 畏-extension of additive category is obtained, and then the loop category and 畏-extension commutativity of category A are obtained. That is, the additive category is equivalent to 惟 (A (畏) (惟 A) (畏). Finally, we apply the principal definite to the category of modules on the ring R, and obtain a result of the ring R and its extended ring K _ (?) _ (1) group.
【作者单位】： 福建师范大学数学与计算机科学学院;
【基金】：国家自然科学基金资助项目(11471269) 福建省自然科学基金资助项目(2016J01002)
【分类号】：O154.1
，
本文编号：2453122
[Abstract]:Let A be an additive category, on the basis of defining 畏-extension of category A, the invariance of 畏-extension of additive category is obtained, and then the loop category and 畏-extension commutativity of category A are obtained. That is, the additive category is equivalent to 惟 (A (畏) (惟 A) (畏). Finally, we apply the principal definite to the category of modules on the ring R, and obtain a result of the ring R and its extended ring K _ (?) _ (1) group.
【作者单位】： 福建师范大学数学与计算机科学学院;
【基金】：国家自然科学基金资助项目(11471269) 福建省自然科学基金资助项目(2016J01002)
【分类号】：O154.1
，
本文编号：2453122
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