Gorenstein Flat Complexes with Respect to a Semidualizing Module

• 作者: Chunhua Yang Li Liang
• 来源期刊: 代数集刊:英文版
• 学科: 工学
• 关键词: 模块 交换诺特环 复合物 GFC 络合物
• 年，卷（期）: 2015,（2）
• 页码范围: 259-270
• 页数: 12页
• 分类号: TP311.13
• 语种: 中文

摘要

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.