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.
引用
收藏
页码：109 / 116
页数：8
相关论文
共 50 条
  • [1] Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras
    Enache, P
    Nastasescu, C
    Torrecillas, B
    PUBLICACIONS MATEMATIQUES, 2006, 50 (01) : 57 - 70
  • [2] Recollement of Colimit Categories and Its Applications
    Ju Huang
    Qinghua Chen
    Chunhuan Lai
    Czechoslovak Mathematical Journal, 2020, 70 : 1147 - 1160
  • [3] Recollement of Colimit Categories and Its Applications
    Huang, Ju
    Chen, Qinghua
    Lai, Chunhuan
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2020, 70 (04) : 1147 - 1160
  • [4] From recollement of triangulated categories to recollement of abelian categories
    YaNan Lin
    MinXiong Wang
    Science China Mathematics, 2010, 53 : 1111 - 1116
  • [5] From recollement of triangulated categories to recollement of abelian categories
    LIN YaNan 1 & WANG MinXiong 1
    2 School of Mathematical Sciences
    Science China(Mathematics), 2010, 53 (04) : 1111 - 1116
  • [6] From recollement of triangulated categories to recollement of abelian categories
    Lin YaNan
    Wang MinXiong
    SCIENCE CHINA-MATHEMATICS, 2010, 53 (04) : 1111 - 1116
  • [7] The Exchange Property in Grothendieck Categories: Applications
    Daus, L.
    Nastasescu, C.
    Salim, M.
    COMMUNICATIONS IN ALGEBRA, 2016, 44 (04) : 1433 - 1442
  • [8] Locally Stable Grothendieck Categories: Applications
    Castano-Iglesias, Florencio
    Nastasescu, Constantin
    Nastasescu, Laura
    APPLIED CATEGORICAL STRUCTURES, 2013, 21 (02) : 105 - 118
  • [9] Colocalization on Grothendieck categories with applications to coalgebras
    Nastasescu, C
    Torrecillas, B
    JOURNAL OF ALGEBRA, 1996, 185 (01) : 108 - 124
  • [10] Locally Stable Grothendieck Categories: Applications
    Florencio Castaño-Iglesias
    Constantin Năstăsescu
    Laura Năstăsescu
    Applied Categorical Structures, 2013, 21 : 105 - 118
12345