Complete decomposable MS-algebras | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 27, Issue 1, 2019, Page 1-11 PDF (568.9 K) | ||||
| DOI: 10.1186/s42787-019-0027-8 | ||||
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| Authors | ||||
| Abd El-Mohsen Badawy; Ahmed Gaber | ||||
| Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt | ||||
| 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 | ||||
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