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).

Keywords

• hemirings
• homomorphism of hemirings
• homomorphism theorem
• N-homomorphism
• Type(K) ideals
• hereditarily semisubtractive.