In first section, the concept of pseudo ideal is raised . then, we discuss the relations of pseudo ideals, kernel of homomorphisms and congruences on a division semiring . and the homomorphic basic theorem, the first and the second isomorphic theorems are proved 第一部分,引入偽理想這一新概念,討論了偽理想,同態(tài)核,同余在可除半環(huán)中的關(guān)系,證明了同態(tài)基本定理及第一、二同構(gòu)定理