| 乘积构形的良划分性 |
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| 引用本文： | 单炳有,牛兴文. 乘积构形的良划分性[J]. 北京化工大学学报(自然科学版), 2010, 37(2): 142-144. DOI: 10.3969/j.issn.1671-4628.2010.02.029 |
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| 作者姓名： | 单炳有 牛兴文 |
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| 作者单位： | 北京化工大学 理学院, 北京 100029 |
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| 摘 要： | 已知乘积构形为超可解构形充要条件是每个因子构形都是超可解构形,将此结论推广到良划分构形,证明了乘积构形(A1×…×Ak,V1…Vk)为良划分构形的充要条件是因子构形(Ai,Vi),1≤i≤k都是良划分构形。
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| 关 键 词： | 超平面构形 乘积构形 良划分构形 |
Nice partition of product arrangements |
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| SHAN BingYou,NIU XingWen. Nice partition of product arrangements[J]. Journal of Beijing University of Chemical Technology, 2010, 37(2): 142-144. DOI: 10.3969/j.issn.1671-4628.2010.02.029 |
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| Authors: | SHAN BingYou NIU XingWen |
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| Affiliation: | School of Science, Beijing University of Chemical Technology, Beijing 100029, China |
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| Abstract: | It is known that a product arrangement is a supersolvable arrangement if,and only if,each factor ar-rangement is also a supersolvable arrangement.This conclusion for supersolvable arrangements is extended to nice partition arrangements and it is proven that a product arrangement((A)_1×…×(A)_k,V_1⊕…⊕V_k)is a nice partition arrangement if,and only if,each factor arrangement(A_i,V_i),1≤i≤k is also a nice partition arrangement. |
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| Keywords: | hyperplane arrangement product arrangement nice partition arrangement |
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