Homomorphisms and subalgebras of decomposable MS-algebras

Decomposable MS-algebras were introduced and characterized by Badawy et al. [1] in terms of decomposable MS-triple (M, D, φ), where M is a de Morgan algebra, D is a distributive lattice with unit and φ is a bounded lattice homomorphism of M into the lattice of filters of D. In this paper we study homomorphisms, subalgebras and solve the “Fill-in” problem for such decomposable MS-algebras.