摘要
研究了范畴中态射 f关于态射β和γ的加权 Moore-Penrose逆 fβ,γ+,分别给出了一般态射、有满单分解态射与有核 (上核 )的 fβ,γ+存在的充要条件及其相应的表达式 ,推广了 f关于对称态射β和γ的加权Moore-Penrose逆的相应结果 .
This paper researches the Moore-Penrose inverse f β,γ + of the morphism f weighted with respect to morphisms β and γ in categories, and gives the necessary and sufficient conditions of the existence and expressions of f β,γ + for general morphisms, morphisms with epic-monic factorizations and morphisms with kernels (cokernels) respectively, and extend the result about the Moore-Penrose inverse of the morphisms f weighted with respect to symmetric morphisms β and γ respectively.
出处
《数学的实践与认识》
CSCD
北大核心
2005年第3期209-215,共7页
Mathematics in Practice and Theory
基金
江西省自然科学基金资助项目 (95 1 3 0 )
江南大学"2 1 1"工程基金资助项目 (0 0 0 2 0 3 8)
鹰潭市跨世纪科研带头人基金项目 (Z2 0 0 2 0 1 )
