Complete decomposable MS-algebras

Journal of the Egyptian Mathematical Society

Ahmed Gaber¹  Abd El-Mohsen Badawy² 

[1] Department of Mathematics, Faculty of Science, Ain Shams University;Department of Mathematics, Faculty of Science, Tanta University;

关键词: MS-algebras;    Complete lattice;    Complete decomposable MS-algebras;    Complete decomposable MS-triples;    Triple homomorphisms;    Complete homomorphisms;   

DOI  :  10.1186/s42787-019-0027-8

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown