Czechoslovak Mathematical Journal, first online, pp. 1-10
Strict Mittag-Leffler conditions and locally split morphisms
Yanjiong Yang, Xiaoguang Yan
Received December 5, 2016. First published March 6, 2018.
Abstract: 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.