On interval subalgebras of generalized MV-algebras
Ján Jakubík · Czech digital mathematics library · 2006
Let A be a generalized MV-algebra with the underlying set A. Under the well-known notation, there exists a unital lattice ordered group (G, u) such that A = T(G, u).By applying the fundamental operations of A we can define a partial order ^ on A. Let a, b £ A, a ^ b and let A x = [a,b] be the interval of (A; ^).In this paper we prove that there exists a generalized MV-algebra A 1 with the underlying set A 1 such that the fundamental operations of A 1 are induced by certain polynomial functions over G.