On generalized CS-modules
摘要
An S -closed submodule of a module M is a submodule N for which M/N is nonsingular. A module M is called a generalized CS-module (or briefly, GCS-module) if any S -closed submodule N of M is a direct summand of M . Any homomorphic image of a GCS-module is also a GCS-module. Any direct sum of a singular (uniform) module and a semi-simple module is a GCS-module. All nonsingular right R -modules are projective if and only if all right R -modules are GCS-modules.
引用本文（GB/T 7714）
Qing-Yi Zeng. On generalized CS-modules[J]. Czechoslovak Mathematical Journal, 2015.
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