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,引入伪理想这一新概念,讨论了伪理想,同态核,同余在可除半环中的关系,证明了同态基本定理及第一、二同构定理