| 立体阵基于一种新乘法下的一般性质 |
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| 引用本文： | 姚金江,鞠瑞年.立体阵基于一种新乘法下的一般性质[J].菏泽学院学报,2007,29(2):5-7,23. |
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| 作者姓名： | 姚金江 鞠瑞年 |
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| 作者单位： | 1. 临沂师范学院数学系,山东临沂,276005
2. 青海师范大学数学系,青海西宁,810008 |
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| 基金项目： | 山东省自然科学基金资助项目(Y2005A12) |
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| 摘 要： | 给出了立体阵乘法的一个新定义,推导出新乘法满足分配律和结合律;并且给出了立体阵的转置矩阵的定义,得到了立体阵的转置矩阵的一些性质.最后给出了立体阵三种基本变换的定义和性质及其共轭矩阵的定义和性质.
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| 关 键 词： | 立体阵 结合律 分配律 |
| 文章编号： | 1673-2103（2007）02-0005-03 |
| 收稿时间： | 2006-12-21 |
| 修稿时间： | 2006-12-21 |
The General Properties of Cubic Matrices Based on a New Mulitiplication |
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| YAO Jin-jiang,JU Rui-nian.The General Properties of Cubic Matrices Based on a New Mulitiplication[J].Journal of Heze University,2007,29(2):5-7,23. |
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| Authors: | YAO Jin-jiang JU Rui-nian |
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| Institution: | 1. Department of mathematcs, Linyi Teachers College, Linyi Shandong 276005, China; 2. Department of mathematcs, Qinghai Normal University 810008,China |
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| Abstract: | In this paper,the authors give a new multiplication of the cubic matrices,and testify the associative law and the distributive law of the new multiplication are right under the new multiplication.The authors give the definition of the transposed matrices,and get some properties of the transposed matrices.In the end,the authors give the definition and properties of the three kinds of elementary transformations.The authors give the definition and properties of the conjugated matrices. |
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| Keywords: | cubic matrix associative law distributive law |
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