Homomorphism, Ideals and Binary Relations on Hyper-MV Algebras
S. Rasouli and B. Davvaz
In this paper by considering the notion of hyper-MV algebra, we study homomorphisms, dual homomorphisms and strong homomorphisms between hyper-MV algebras. Also, we introduce the notion of hyper-MV ideal and prove some results in this respect. We consider the fundamental relation η† on hyper-MV algebras and we give some results about the connections between hyper-MV algebras and fundamental MV-algebras.
Keywords: MV-algebra, hyper-MV algebra, dual and strong homomorphisms, fundamental equivalence relation.