| 张显,曹重光.某些非负交换半环上强保持矩阵M-P逆的线性算子(英)[J].数学研究及应用,1999,19(3):508~514 |
| 某些非负交换半环上强保持矩阵M-P逆的线性算子(英) |
| Linear Operators Strongly Preserving M-P Inverses of Matrices over Some Antinegative Commutative Semirings |
| 投稿时间：1996-11-18 |
| DOI：10.3770/j.issn:1000-341X.1999.03.007 |
| 中文关键词: |
| 英文关键词:semiring M-P inverse of matrix linear operator |
| 基金项目: |
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| 中文摘要: |
| 设S是无零因子的非负交换半环或者有限生成布尔代数，μn（S）记S上的矩阵集合．本文确定了μn（S）上的强保持矩阵M－P逆的线性算子半群Nn（S）的结构． |
| 英文摘要: |
| Let S be an antinegative commutative semiring having no zero divisions or finite general Boolean Algebra and μn(S) the set of n×n matrices over S. In this paper we characterize the structure of the senigroup Nn(S) of linear operators on μn(S) that strongly preserve the M-P inverses of matrices. |
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