相对千半对偶模的 GorensteinW-投射模
Gorenstein W-Projective Modules with Respect to a Semidualizing Module
DOI: 10.12677/AAM.2021.109307, PDF, HTML, 下载: 432  浏览: 531  国家自然科学基金支持
作者: 王 锐, 吕家凤*, 张东东：浙江师范大学数学与计算机科学学院 浙江 金华
关键词: 半对偶模；C-Gorenstein W-投射模；Bass ；Semidualizing Module； C-Gorenstein W-Projective Module； Bass Class
摘要: 设PC (R)和BC (R)是与半对偶模 C 相关的 C-投射模类和Bass类, PC (R) ⊆ W ⊆ BC (R). 本文主要研究与半对偶模相关的 Gorenstein 范畴 ÇC (W) 的性质, 证明了 ÇC (W) 投射分解类。
Abstract: Let PC (R) ⊆ W ⊆ BC (R) where PC (R) and BC (R) is the class of C-projective and Bass class related to semidualizing module, respectively. In this paper, we discuss the property of Gorenstein category ÇC (W), and it is proved that ÇC (W) is projectively resolving.
文章引用：王锐, 吕家凤, 张东东. 相对千半对偶模的 GorensteinW-投射模[J]. 应用数学进展, 2021, 10(9): 2933-2942. https://doi.org/10.12677/AAM.2021.109307

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