International Journal of Mathematics and Mathematical Sciences
Volume 1 (1978), Issue 4, Pages 439-445
doi:10.1155/S0161171278000447

A note on the homomorphism theorem for hemirings

Abstract

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).