Lattice preradicals with applications to Grothendieck categories and torsion theories

被引：20

作者：

Albu, Toma ^{[1
]}

Iosif, Mihai ^{[2
]}

机构：

[1] Romanian Acad, Simion Stoilow Inst Math, Res Unit 5, RO-010145 Bucharest 1, Romania

[2] Univ Bucharest, Dept Math, RO-010014 Bucharest 1, Romania

来源：

JOURNAL OF ALGEBRA | 2015年 / 444卷

关键词：

Modular lattice; Complete lattice; Compactly generated lattice; Upper continuous lattice; Linear modular lattice; Preradical; Atom; Coatom; Socle; Radical; Jacobson radical; Trace; Reject; Grothendieck category; Torsion theory; MODULAR LATTICES; KRULL DIMENSION; LOCALIZATION;

D O I：

10.1016/j.jalgebra.2015.07.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce and investigate the latticial counterpart of the module-theoretical concept of preradical. Applications are given to Grothendieck categories and module categories equipped with hereditary torsion theories. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：339 / 366

页数：28

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