保持ai-半环上矩阵的Moore-Penrose逆的线性算子

计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (8): 37-41.

保持ai-半环上矩阵的Moore-Penrose逆的线性算子

杨阳，任苗苗，邵勇

西北大学数学系，西安 710127

出版日期:2015-04-15 发布日期:2015-04-29

Linear operators preserving Moore-Penrose inverses of matrices over ai-semirings

YANG Yang, REN Miaomiao, SHAO Yong

Department of Mathematics, Northwest University, Xi’an 710127, China

Online:2015-04-15 Published:2015-04-29

摘要/Abstract

摘要： 研究了保持ai-半环上矩阵的Moore-Penrose逆的可逆线性算子，并完全刻画了保持链半环、完全分配格、n元布尔半环等特殊ai-半环上矩阵 Moore-Penrose逆的可逆线性算子。

关键词: ai-半环, 线性算子, Moore-Penrose逆

Abstract: In this paper it studies invertible linear operators which preserve Moore-Penrose inverse of matrices over ai-semirings, and it is completely characterized that invertible linear operators which preserve Moore-Penrose inverse of matrices over special classes of semirings, including chain semiring, distributive lattice and general Boolean algebras.

Key words: ai-semiring, linear operator, Moore-Penrose inverse

杨阳，任苗苗，邵勇. 保持ai-半环上矩阵的Moore-Penrose逆的线性算子[J]. 计算机工程与应用, 2015, 51(8): 37-41.

YANG Yang, REN Miaomiao, SHAO Yong. Linear operators preserving Moore-Penrose inverses of matrices over ai-semirings[J]. Computer Engineering and Applications, 2015, 51(8): 37-41.

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