A fundamental theorem of co-homomorphisms for semirings

Abstract

The quotient structure of a semiring with non-zero identity modulo a Q-strong co-ideal has been introduced and studied in [1]. In this paper, we will introduce the notions of co-homomorphisms and Maximal co-homomorphisms for semirings. Using these notions, the fundamental theorem of co-homomorphisms will be generalized to include a large class of semirings. © 2014 by the Mathematical Association of Thailand. All rights reserved.