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Eurasian Mathematical Journal, 2015, Volume 6, Number 1, Pages 56–64 (Mi emj183)  
The relationships between posets and independent sets of a matroid of arbitrary cardinality

H. Mao

Department of Mathematics, Hebei University, 071002 Baoding, China
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Abstract: 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.
Keywords and phrases: matroid of arbitrary cardinality, independent set, poset, Boolean lattice.
Funding agency
This work was supported by NSF of China 61572011, 61073121, 61202178; NSF of Hebei Province A2013201119, A2014201033.
Received: 06.03.2012
Document Type: Article
MSC: 05B35, 06A06, 06A07
Language: English
Citation: H. Mao, “The relationships between posets and independent sets of a matroid of arbitrary cardinality”, Eurasian Math. J., 6:1 (2015), 56–64
Citation in format AMSBIB
\Bibitem{Mao15}
\by H.~Mao
\paper The relationships between posets and independent sets of a matroid of arbitrary cardinality
\jour Eurasian Math. J.
\yr 2015
\vol 6
\issue 1
\pages 56--64
\mathnet{http://mi.mathnet.ru/emj183}
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