Base Axioms of Modular Supermatroids
This paper studies axiom systems of supermatroids. Barnabei et al.'s base axioms concerning poset matroids (i.e., distributive supermatroids) are generalized to modular supermatroids, and a mistake in the proof of base axioms of poset matroids is pointed out.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/126345 |
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| _version_ | 1832552440209080320 |
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| author | Xiaonan Li Sanyang Liu |
| author_facet | Xiaonan Li Sanyang Liu |
| author_sort | Xiaonan Li |
| collection | DOAJ |
| description | This paper studies axiom systems of supermatroids. Barnabei et al.'s base axioms concerning poset matroids (i.e., distributive supermatroids) are generalized to modular supermatroids, and a mistake in the proof of base axioms of poset matroids is pointed out. |
| format | Article |
| id | doaj-art-77a3049f78884fa7832a381ddbe510b4 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-77a3049f78884fa7832a381ddbe510b42025-02-03T05:58:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/126345126345Base Axioms of Modular SupermatroidsXiaonan Li0Sanyang Liu1School of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaSchool of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaThis paper studies axiom systems of supermatroids. Barnabei et al.'s base axioms concerning poset matroids (i.e., distributive supermatroids) are generalized to modular supermatroids, and a mistake in the proof of base axioms of poset matroids is pointed out.http://dx.doi.org/10.1155/2014/126345 |
| spellingShingle | Xiaonan Li Sanyang Liu Base Axioms of Modular Supermatroids Journal of Applied Mathematics |
| title | Base Axioms of Modular Supermatroids |
| title_full | Base Axioms of Modular Supermatroids |
| title_fullStr | Base Axioms of Modular Supermatroids |
| title_full_unstemmed | Base Axioms of Modular Supermatroids |
| title_short | Base Axioms of Modular Supermatroids |
| title_sort | base axioms of modular supermatroids |
| url | http://dx.doi.org/10.1155/2014/126345 |
| work_keys_str_mv | AT xiaonanli baseaxiomsofmodularsupermatroids AT sanyangliu baseaxiomsofmodularsupermatroids |