K-Groups of Trivial Extensions and Gluings of Abelian Categories

• Published in: Mathematics (Basel) Vol. 9; no. 16; p. 1864
• Main Authors: Chen, Qinghua, Zheng, Min
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.08.2021
• Subjects: abelian category; Categories; Gluing; gluing of categories; Ki-group; trivial extension of category; trivial extension ring

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 sim...