Geodesic
The relationships between posets and independent sets of a matroid of arbitrary cardinality
Eurasian mathematical journal, Tome 6 (2015) no. 1, pp. 56-64

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By constructing the correspondent relationship between matroids of arbitrary cardinality and posets, under isomorphism, this paper characterizes matroids of arbitrary cardinality without loops. Utilizing this characterization, it realizes the translation of some results from posets to matroid of arbitrary cardinality frameworks. At last, we give the conclusion. 
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     title = {The relationships between posets and independent sets of a matroid of arbitrary cardinality},
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H. Mao. The relationships between posets and independent sets of a matroid of arbitrary cardinality. Eurasian mathematical journal, Tome 6 (2015) no. 1, pp. 56-64. http://geodesic.mathdoc.fr/item/EMJ_2015_6_1_a3/