范畴中态射集星型序的刻划

Characterizations of the Star Type Partial Orders of Morphism Set in a Category

本文证得了带有对合范畴中态射集的左（右）星序的１２种刻划，得到了此范畴中态射集的星序的２０种刻划，将［１～５］中复矩阵的相应结果推广到范畴中．

This paper studies the problem for the characterizations of the star type partial orders of morphism set in a category with an involution ,prove twelve characterizations of the left -star (right -star)partial order,and twenty characterizations of the star partial order,then generalized corresponding results of complex matrices for the papers [1-5] to a category.