4.7 Article

K-Groups of Trivial Extensions and Gluings of Abelian Categories

期刊

MATHEMATICS
卷 9, 期 16, 页码 -

出版社

MDPI
DOI: 10.3390/math9161864

关键词

abelian category; gluing of categories; K-i-group; trivial extension of category; trivial extension ring

资金

  1. National Natural Science Foundation of China [11871404, 11471269, 11601084]

向作者/读者索取更多资源

This paper focuses on the Ki-groups of two types of extensions of abelian categories, the trivial extension and the gluing of abelian categories, showing isomorphisms of Ki-groups under certain conditions. The results provide a foundation for future research in related fields.
This paper focuses on the Ki-groups of two types of extensions of abelian categories, which are the trivial extension and the gluing of abelian categories. We prove that, under some conditions, Ki-groups of a certian subcategory of the trivial extension category is isomorphic to Ki-groups of the similar subcategory of the original category. Moreover, under some conditions, we show that the Ki-groups of a left (right) gluing of two abelian categories are isomorphic to the direct sum of Ki-groups of two abelian categories. As their applications, we obtain some results of the Ki-groups of the trivial extension of a ring by a bimodule (i is an element of N).

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.7
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据