Complete decomposable MS-algebras

Authors

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

https://doi.org/10.1186/s42787-019-0027-8

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