In this paper, we introduce and study GC-flat complexes over a commutative Noetherian ring, where C is a semidualizing module. We prove that Ge-flat complexes are actually the complexes of Go-flat modules. This comple...In this paper, we introduce and study GC-flat complexes over a commutative Noetherian ring, where C is a semidualizing module. We prove that Ge-flat complexes are actually the complexes of Go-flat modules. This complements a result of Yang and Liang. As an application, we get that every complex has a GF-C（C）-cover, where GFC（C） is the class of Ge-flat complexes. We also give a characterization of complexes of modules in HC（FC） that are defined by Sather-Wagstaff, Sharif and White.展开更多
基金Partially supported by the National Natural Science Foundation of China （No. 11301240）, and the Young Scholars Science Foundation of Lanzhou Jiaotong University （No. 2012020）.
文摘In this paper, we introduce and study GC-flat complexes over a commutative Noetherian ring, where C is a semidualizing module. We prove that Ge-flat complexes are actually the complexes of Go-flat modules. This complements a result of Yang and Liang. As an application, we get that every complex has a GF-C（C）-cover, where GFC（C） is the class of Ge-flat complexes. We also give a characterization of complexes of modules in HC（FC） that are defined by Sather-Wagstaff, Sharif and White.
