%0 Journal Article %T A note on the homomorphism theorem for hemirings %A D. M. Olson %J International Journal of Mathematics and Mathematical Sciences %D 1978 %I Hindawi Publishing Corporation %R 10.1155/s0161171278000447 %X The fundamental homomorphism theorem for rings is not generally applicable in hemiring theory. In this paper, we show that for the class of N-homomorphism of hemirings the fundamental theorem is valid. In addition, the concept of N-homomorphism is used to prove that every hereditarily semisubtractive hemiring is of type (K). %K hemirings %K homomorphism of hemirings %K homomorphism theorem %K N-homomorphism %K Type(K) ideals %K hereditarily semisubtractive. %U http://dx.doi.org/10.1155/S0161171278000447