A condition for modular lattices |
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| Authors: | Jun Wang Jun Wu |
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| Institution: | (1) Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, P. R. China |
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| Abstract: | This paper proves that a geometric lattice of rank n is a modular lattice if its every maximal chain contains a modular element of rank greater than 1 and less than n. This result is generalized to a more general lattices of finite rank.
The first author is partially supported by the National Natural Science Foundation of China (Grant No. 10471016). |
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| Keywords: | geometric lattice modular lattice chain cutset |
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