Abstract
The fundamental homomorphism theorem for rings is not generally applicable in hemiring theory. In this paper, we show that for the class ofN-homomorphism of hemirings the fundamental theorem is valid. In addition, the concept ofN-homomorphism is used to prove that every hereditarily semisubtractive hemiring is of type(K).
Highlights
The fundamental homomorphism theorem for rings is not generally applicable in hemiring theory
It is well known that the analogue to the fundamental homomorphism theorem is not necessarily true in general hemiring theory
In [I] Allen defined a class of maximal homomorphisms of hemirings for which the exact analogue could be proven
Summary
The fundamental homomorphism theorem for rings is not generally applicable in hemiring theory. In [I] Allen defined a class of maximal homomorphisms of hemirings for which the exact analogue could be proven. A hemiring homomorphism $ from S onto . maximal homomorphism if for every t e T, there exists c e t for all x e -I (t) we have x + ker $ c + ker
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