带对合范畴中态射的广义逆

THE GENERALIZED INVERSE OF A MORPHISM IN THE CATEGORY WITH AN INVOLUTION

在本文中,给出了带有对合自反变函子范畴中态射的广义逆的定义及广义逆存在的等价命题,进而给出了一类特殊范畴中态射存在广义逆的充要条件及广义逆的具体表达形式。

In this paper. We define the generalized inverse of a morphism in a category with an involutory contravariant functor and give some equivalent conditions on a morphism which has generalized inverse. Then we give a necessary and .sufficient condition for a morphism in certain category to have generalized inverse and give an explicit expression of the generalized inverse of a morphism.