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On the Maps Between Antimatroids 被引量:1
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作者 毛华 《Northeastern Mathematical Journal》 CSCD 2006年第1期55-66,共12页
In this paper, the definitions of the most common and elementary mappings between matroids are extended to antimatroids first. Then the poset theory is used to find out the fiats of an antimatroid and obtain all of st... In this paper, the definitions of the most common and elementary mappings between matroids are extended to antimatroids first. Then the poset theory is used to find out the fiats of an antimatroid and obtain all of strong maps for a given antimatroid. Besides, the poset theory is also used to deal with the relationships among the mappings between antimatroids. All the discussion is connected with poset theory. This claims that poset theory is an important tool for the study of antimatroid theory. 展开更多
关键词 POSET hasse diagram ANTIMATROID MAP
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