Brown Representability Test Problems in Locally Grothendieck Categories

被引：2

作者：

Trlifaj, Jan ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Dept Algebra, Prague 18675 8, Czech Republic

来源：

APPLIED CATEGORICAL STRUCTURES | 2012年 / 20卷 / 01期

关键词：

Brown representability; Grothendieck category; kappa-purity;

D O I：

10.1007/s10485-010-9234-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Open questions concerning Brown representability have recently led Rosicky and Muro to formulate two test problems for Grothendieck categories. We prove that these test problems have a negative solution in the locally Grothendieck category C = boolean OR(kappa >=aleph 0) Mod-K-kappa where K is a field.

引用

页码：97 / 102

页数：6

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