Complete decomposable MS-algebras

Abstract

Abstract According to the characterization of decomposable MS-algebras in terms of triples (M,D,φ), where M is a de Morgan algebra, D is a distributive lattice with 1 and φ is a (0,1)-homomorphism of M into F(D), the filter lattice of D, we characterize complete decomposable MS-algebras in terms of complete decomposable MS-triples. Also, we describe the complete homomorphisms of complete decomposable MS-algebras by means of complete decomposable MS-triples.

Keywords

• MS-algebras
• Complete lattice
• Complete decomposable MS-algebras
• Complete decomposable MS-triples
• Triple homomorphisms
• Complete homomorphisms