Recollement of Grothendieck categories. Applications to schemes

被引:0
|
作者
Joita, D. [1 ]
Nastasescu, C. [2 ]
Nastasescu, L. [3 ]
机构
[1] Titu Maiorescu Univ, Bucharest 040056, Romania
[2] Romanain Acad, Inst Math Simion Stoilow, Bucharest 014700, Romania
[3] Univ Bucharest, Fac Math & Comp Sci, Bucharest 010014, Romania
来源
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2013年 / 56卷 / 01期
关键词
Grothendieck category; locally finite category; k-category; Gabriel dimension; Krull dimension;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that under suitable conditions the recollement of two locally finite categories is locally finite and similar statements for locally coirreducible categories and categories that have Gabriel dimension and locally Krull dimension. We present applications to (right) comodule categories over semiperfect coalgebras.
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页码:109 / 116
页数:8
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