Linear Operators Strongly Preserving M-P Inverses of Matrices over Some Antinegative Commutative Semirings |
Received:November 18, 1996 |
Key Words:
semiring M-P inverse of matrix linear operator
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Abstract: |
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. |
Citation: |
DOI:10.3770/j.issn:1000-341X.1999.03.007 |
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