Strict Mittag-Leffler conditions and locally split morphisms

作者：Yang, Yanjiong^*; Yan, Xiaoguang

来源：Czechoslovak Mathematical Journal, 2018, 68(3): 677-686.

DOI：10.21136/CMJ.2018.0621-16

• strict Mittag-Leffler condition
• locally split morphism
• Gorenstein projective module
• Ding projective module

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.

• 出版日期2018-9
• 单位台州学院; 南京晓庄学院