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
From page
1363
To page
1378
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
Record number
2744087
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