理论数学

Vol.5 No.1 (January 2015)

保持半环上矩阵{1,2}-逆的可逆线性算子
The Invertible Linear Operator Preserving {1,2}-Inverses of Matrices over Semirings

 

作者:

张林红 :西安市第三中学,西安

 

关键词:

半环{12}-逆可逆线性算子Semiring {12}-Inverse Invertible Linear Operator

 

摘要:

线性保持问题一直是矩阵论研究中一个较为活跃的课题。本文主要研究了保持半环上矩阵{1,2}-逆的可逆线性算子。完全的刻画了保持链半环、非负整数环和非负实数环上的矩阵{1,2}-逆的可逆算子。

Linear preserve problem has been a relatively active topic in the matrix theory research. In the paper, we mainly study invertible linear operators that preserve {1,2}-inverses of matrices over semirings. It is completely characterized that invertible linear operators which preserve {1,2}- inverse of matrices over chain semiring, the nonnegative integers, and the nonnegative reals.

文章引用:

张林红 (2015) 保持半环上矩阵{1,2}-逆的可逆线性算子。 理论数学, 5, 8-13. doi: 10.12677/PM.2015.51002

 

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