Two criteria for locally noetherian Grothendieck categories期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Two criteria for locally noetherian Grothendieck categories

Institution:	1. Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, México D.F. 04510, Mexico;2. Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, México D.F. 04510, Mexico;3. Université de Paris et Sorbonne Université, CNRS, IMJ-PRG, Bâtiment Sophie Germain, 5 rue Thomas Mann, 75205 Paris Cedex 13, France;1. University of Missouri-Columbia, Mathematics Department, Columbia, MO, USA;2. College of the Ozarks, Mathematics Department, Point Lookout, MO, USA;1. CIEM-FaMAF, CONICET-Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina;2. Guangdong Technion Israel Institute of Technology, 241 Daxue Road, Jinping District, Shantou, Guandong Province, China;1. Department of Mathematical Sciences, Tsinghua University, 100084 Beijing, PR China;2. School of Mathematics and Statistics, Changsha University of Science and Technology, 410114 Changsha, Hunan, PR China

Abstract:	We give two criteria for a Grothendieck category to be locally noetherian. The first of these is in terms of direct sum decompositions into uniform components. The second is related to the existence of finitely injective objects that cannot be expressed as a direct sum of injectives.

Keywords:	Finitely injective objects Local summands Chain conditions Grothendieck categories
本文献已被 ScienceDirect 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏