On the non-existence of right almost split maps

被引：8

作者：

Saroch, Jan ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Dept Algebra, Sokolovska 83, Prague 18675 8, Czech Republic

来源：

INVENTIONES MATHEMATICAE | 2017年 / 209卷 / 02期

关键词：

FREE MODULES; APPROXIMATIONS; SEQUENCES;

D O I：

10.1007/s00222-016-0712-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that, over any ring, a module C is the codomain of a right almost split map, if and only if C is finitely presented with a local endomorphism ring. Thus we answer a 40-year-old question by Maurice Auslander.

引用

页码：463 / 479

页数：17

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