Strict Mittag-Leffler conditions and locally split morphisms

Czechoslovak Mathematical Journal

Yanjiong Yang, Xiaoguang Yan¹ 

关键词: strict Mittag-Leffler condition;    locally split morphism;    Gorenstein projective module;    Ding projective module;   

DOI  :  10.21136/CMJ.2018.0621-16

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  In this paper, we prove that any pure submodule of a strict Mittag-Leffler module is a locally split submodule. As applications, we discuss some relations between locally split monomorphisms and locally split epimorphisms and give a partial answer to the open problem whether Gorenstein projective modules are Ding projective.

【 授权许可】

Unknown