A Fundamental Theorem of Co-Homomorphisms for Semirings

S. Ebrahimi Atani, S. Dolati Pish Hesari, M. Khoramdel

Abstract

The quotient structure of a semiring with non-zero identity modulo a Q-co-ideal have been introduced and studied in [3]. 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.