加法可逆半环的同态定理

Homomorphic Theorems of the Semirings with Reversible Addition

本文讨论了加法可逆半环的强理想、同态核与同余的关系,进而证明了同态基本定理与第一、第二同构定理,讨论了商半环的子半环与理想的性质.

: In this paper,we discussed the relations of strong ideals,kernel of homomorphisms and con-gruences in a semiring. And,the homomorphic elementary theorem,the first and the second isomorphic theo-rems have been proved. Besides, we also discussed the properties of subsemirings and ideals in a quotientsemiring.