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| 强极大TAF代数的交不可约D-模 | |
| 引用本文： | 姜世平,陈培鑫,芮筱亭,张茂柱.强极大TAF代数的交不可约D-模[J].数学杂志,2011,31(4):763-769. |
| 作者姓名： | 姜世平 陈培鑫 芮筱亭 张茂柱 |
| 作者单位： | 1. 南京理工大学发射动力学研究所,江苏南京,210094 2. 南京理工大学发射动力学研究所,江苏南京210094;南京理工大学理学院,江苏南京210094 3. 泰山学院数学与系统科学学院,山东泰安,271021 |
| 摘 要： | 本文研究了强极大TAF代数的交不可约D-模的有关性质.利用矩阵单元链的方法,证明了全上三角矩阵代数中任一D-模等于包含它的所有交不可约D-模的交,建立了强极大TAF代数的交不可约D-模与矩阵单元链之间的对应关系,推广了强极大TAF代数中关于理想的若干性质. |
| 关 键 词： | 强极大TAF代数 交不可约D-模 矩阵单元链 |
MEET IRREDUCIBLE D-MODULES IN STRONGLY MAXIMAL TAF ALGEBRAS |
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| JIANG Shi-ping,CHEN Pei-xin,RUI Xiao-ting,ZHANG Mao-zhu.MEET IRREDUCIBLE D-MODULES IN STRONGLY MAXIMAL TAF ALGEBRAS[J].Journal of Mathematics,2011,31(4):763-769. | |
| Authors: | JIANG Shi-ping CHEN Pei-xin RUI Xiao-ting ZHANG Mao-zhu |
| Institution: | JIANG Shi-ping1,a,CHEN Pei-xin1,b,RUI Xiao-ting1,ZHANG Mao-zhu2 (1. a. Institute of Launch Dynamics,b. School of Science,Nanjing University of Science and Technology,Nanjing 210094,China) (2. School of Mathematics and System Science,Taishan University,Taian 271021,China) |
| Abstract: | In this article, we consider the properties of meet irreducible D-Modules in strongly maximal TAF algebras. Using the method of the chain of matrix units, we prove that any D-module in full triangular matrix algebras is equal to the intersection of meet irreducible D-Modules which contain it. And at the same time the corresponding relation between meet irreducible D-modules and the chain of matrix units is established, which extends the properties about ideals in strongly maximal TAF algebras. |
| Keywords: | strongly maximal TAF algebra meet irreducible D-module chain of matrix units |
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