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| The Φ-Group for n Submodules Systems as aGeneralization of the K-Theory? |
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Citation： |
Dong LI,Xiaoman CHEN,Shengzhi XU.The Φ-Group for n Submodules Systems as aGeneralization of the K-Theory?[J].Chinese Annals of Mathematics B,2014,35(1):101~114 |
| Page view： 1646
Net amount： 1294 |
Authors： |
Dong LI; Xiaoman CHEN; Shengzhi XU; |
Foundation： |
National Natural Science Foundation of China (Nos. 11231002, 10971023) andthe Shanghai Natural Science Foundation (No. 09ZR1402000). |
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| Abstract： |
In this paper, the authors construct a Φ-group for n submodules, which generalizes
the classical K-theory and gives more information than the classical ones. This
theory is related to the classification theory for indecomposable systems of n subspaces. |
Keywords： |
System of n subspaces, System of n submodules, Φ-Group, K-Theory,Indecomposable system |
Classification： |
46L80, 47C10 |
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