Strict Mittag-Leffler conditions and locally split morphisms |
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| Authors: | Yanjiong Yang Xiaoguang Yan |
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| Institution: | 1.Department of Mathematics,Taizhou University,Taizhou, Jiangsu,China;2.School of Information Technology,Nanjing Xiaozhuang University,Nanjing, Jiangsu,China |
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| 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. |
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