| 任意域上的代数中两个幂等元线性组合的Drazin可逆性（英文） |
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| 引用本文： | 吴珍莺,钟怀杰,曾清平.任意域上的代数中两个幂等元线性组合的Drazin可逆性（英文）[J].数学研究,2012,45(2):133-143. |
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| 作者姓名： | 吴珍莺 钟怀杰 曾清平 |
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| 作者单位： | 1. 福州海峡职业技术学院基础教学部,福建福州,350014
2. 福建师范大学数学与计算机科学学院,福建福州,350007 |
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| 基金项目： | supported by the National Natural Science Foundation of China(NO.11171066);Specialized Research Fund for the Doctoral Program of Higher Education (NO.2010350311001) |
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| 摘 要： | 对域上的代数中两个幂等元P和q,满足一定的条件PqP=s,其中s∈{O,P,q,Pq,qP,qPq},本文得到了它们的线性组合ip＋jq均是Drazin可逆的,并给出了其Drazin逆的表示.
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| 关 键 词： | Drazin逆 幂等元 线性组合 域上的代数 |
Drazin Invertibility of Linear Combinations of Two Idempotents in Algebra over anArbitrary Field |
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| Wu Zhenying,Zhong Huaijie,Zeng Qingping.Drazin Invertibility of Linear Combinations of Two Idempotents in Algebra over anArbitrary Field[J].Journal of Mathematical Study,2012,45(2):133-143. |
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| Authors: | Wu Zhenying Zhong Huaijie Zeng Qingping |
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| Institution: | 1.Ministry of Basic Education,Fuzhou Strait Vocation Technological college,Fuzhou Fujian 350014; 2.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou Fujian 350007) |
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| Abstract: | In this paper,the Drazin inverses of linear combinations ip+jq of two idempotents p and q in algebra over an arbitrary field are established under the assumption pqp = s,where s∈{0,p,q,pq,qp,qpq}. |
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| Keywords: | Drazin inverse Idempotent Linear combinations Algebra over a field |
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