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三角矩阵代数上的保交换可加映射(英文) 被引量:1
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作者 李晋秀 《数学杂志》 CSCD 北大核心 2004年第2期134-138,共5页
本文研究了三角矩阵代数上保持交换性的可加映射的结构。利用最近Marcoux与Sourour发表在 [LinearAlg .Appl.2 88(1 999) ,89- 1 0 4 ]上的一个结果 ,我们证明了任意域F上的三角矩阵代数Tn(F) (n >2 )上的可加满射 φ双向保交换当且... 本文研究了三角矩阵代数上保持交换性的可加映射的结构。利用最近Marcoux与Sourour发表在 [LinearAlg .Appl.2 88(1 999) ,89- 1 0 4 ]上的一个结果 ,我们证明了任意域F上的三角矩阵代数Tn(F) (n >2 )上的可加满射 φ双向保交换当且仅当 φ是Tn(F)上一个可加泛函与Tn(F)上某个环自同构或环反自同构之和。 展开更多
关键词 三角矩阵代数 可加映射 保交换性映射
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关于域上上三角矩阵的诱导映射
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作者 付丽 闫盼盼 曹重光 《纯粹数学与应用数学》 2016年第6期630-639,共10页
令F是一个域,T_n(F)是F上所有n×n上三角矩阵的集合.本文分别给出了矩阵保相似性及保交换性的定义,并使用矩阵技术和初等方法,得到了T_n(F)的保相似性及保交换性的诱导映射的一般形式,并且给出了例子,来解释一些结果之间的关系.
关键词 上三角矩阵 相似 保交换性 诱导映射
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Soil and Vegetation Seasonal Changes in the Grazing Andean Mountain Grasslands
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作者 MU?OZ María ángeles FAZ ángel 《Journal of Mountain Science》 SCIE CSCD 2014年第5期1123-1137,共15页
Andean grasslands ecosystems are fragile environments with rigorous climatologic conditions and low and variable food for the grazing. The Apolobamba area is located in the Bolivian Andean Mountains. Its high grasslan... Andean grasslands ecosystems are fragile environments with rigorous climatologic conditions and low and variable food for the grazing. The Apolobamba area is located in the Bolivian Andean Mountains. Its high grasslands provide a natural habitat for wild and domestic camelids such as vicuna(Vicugna vicugna) and alpaca(Lama pacos). The botanical diversity plays an essential role in maintaining vital ecosystem functions. The objectives of this research were to determine the seasonal changes in soil properties, to study the vegetation changes during the wet and dry seasons and the influence of soil properties and camelid densities on the vegetation in the Apolobamba grasslands. Four zones with different vicuna populations were selected to be studied. The following soil parameters were determined: total organic carbon, total nitrogen, available phosphorous, cation exchange capacity, exchangeable cations, pH and texture. The vegetation season changes were studied through botanical identification, above-ground biomass, plant cover and species richness. Results showed that some soil properties such as C/N ratio, CEC, silt and clay percentages kept stable against the seasonal changes. Generally, soil nutrients were relatively higher during the dry season in the surface and subsurface. The results did not point out the predominant vegetation growth during the wet season. The seasonal vegetation growth depended on each species. Thegood soil fertility corresponded to the highest plant cover. Soil fertility presented no influence on the above-ground biomass of the collected species. The negative influence of camelid grazing on soil properties could not be assessed. However, overgrazing could affect some plant species. Therefore, protection is needed in order to preserve the biodiversity in the Andean mountain grasslands. 展开更多
关键词 Biodiversity Camelid grazing High grasslands Plant communities Soil properties
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