计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2015年
8期
37-41
,共5页
ai-半环%线性算子%Moore-Penrose逆
ai-半環%線性算子%Moore-Penrose逆
ai-반배%선성산자%Moore-Penrose역
ai-semiring%linear operator%Moore-Penrose inverse
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。
研究瞭保持ai-半環上矩陣的Moore-Penrose逆的可逆線性算子，併完全刻畫瞭保持鏈半環、完全分配格、n元佈爾半環等特殊ai-半環上矩陣 Moore-Penrose逆的可逆線性算子。
연구료보지ai-반배상구진적Moore-Penrose역적가역선성산자，병완전각화료보지련반배、완전분배격、n원포이반배등특수ai-반배상구진 Moore-Penrose역적가역선성산자。
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.
