具有广义分解的态射幂的广义逆

On generalized inverses of morphisms power with generalized factorization

研究了具有广义分解的态射幂的Moore Penrose逆的存在条件及其表达式 ,给出群逆的表达式 ,并得到了态射幂的Moore Penrose与群逆之间的关系 ,推广了具有泛分解的广义逆的相应的结果 .

This paper studies existential conditions and expressions for Moore-Penrose inverse of morphisms power with generalized factorization, gives expressions of group inverse, obtains the relationship between Moore-Penrose inverse of morphisms power and group inverse, and generalizes the corresponding results of morphisms with universal factorizations.