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| 强极大TAF代数的交不可约D-模 |
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姜世平,陈培鑫,芮筱亭,张茂柱
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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
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| 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 |
| DOI： |
| 分类号:O177.1 |
| 基金项目:国家自然科学基金 |
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| 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
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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)
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| 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. |
| Key words: strongly maximal TAF algebra meet irreducible D-module chain of matrix units |
