Title of article :
Restricted Projective, Injective and Flat Complexes
Author/Authors :
Liang ، Li L. L. School of Mathematics and Physics - Lanzhou Jiaotong University , Song ، Yanhui Y. S. Department of Mathematics - College of Technology and Engineering - Lanzhou University of Technology
Abstract :
We introduce and study the notions of restricted projective, injective and flat complexes of modules. It is shown in the paper that a complex C of modules is restricted projective if and only if for each m∈Z the module C^m is restricted projective. A similar result for restricted injective complexes is also given. As an application, we characterize the complex of strongly torsion-free modules introduced by Xu.
Keywords :
Restricted projective complex , Restricted injective complex , Restricted flat complex , Strongly torsion , free module
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
