摘要
研究了关于半对偶化模的无挠和自反模的相对概念和同调性质。证明了当C是1-对偶化模时,投射模的子模是完全C-自反模,并且刻画了有有限G_C-维数的C-无挠和C-自反模类。此外还研究了模的G_C-维数与左C-正交维数的关系以及给出了C-自反包络存在的某些充分条件。
The relative notions and homological properties of torsionless and reflexive modules with respect to a semidualizing module are investigated.If C is a 1-dualizing module,then each submodule of a projective module is totally C-reflexive,and then the characterizations of C-torsionless and C-reflexive modules with finite GC-dimension are investigated.Moreover,the relations between the GC-dimension and the left C-orthogonal dimension of a module are studied,and some sufficient conditionson the existence of C-reflexive envelope are given.
作者
罗肖强
谭玲玲
邢建民
LUO Xiao-qiang;TAN Ling-ling;XING Jian-min(Department of Mathematics,Sichuan University of Arts and Science,Dazhou 635000,Sichuan,China;School of Mathematical Sciences,Qufu Normal University,Qufu 273165,Shandong,China;School of Mathematic and Physics,Qingdao University of Science and Technology,Qingdao 266061,Shandong,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2019年第4期72-79,共8页
Journal of Shandong University(Natural Science)
基金
四川省教育厅自然科学基金项目(17ZB0375)
关键词
C-无挠模
C-自反模
完全C-自反模
半对偶化模
C-自反包络
C-torsionless module
C-reflexive module
totally C-reflexive module
semidualizing module
C-reflexive envelope
