Complete decomposable MS-algebras
Badawy, A., Gaber, A. (2019). Complete decomposable MS-algebras. EKB Journal Management System, 27(1), 1-11. doi: 10.1186/s42787-019-0027-8
Abd El-Mohsen Badawy; Ahmed Gaber. "Complete decomposable MS-algebras". EKB Journal Management System, 27, 1, 2019, 1-11. doi: 10.1186/s42787-019-0027-8
Badawy, A., Gaber, A. (2019). 'Complete decomposable MS-algebras', EKB Journal Management System, 27(1), pp. 1-11. doi: 10.1186/s42787-019-0027-8
Badawy, A., Gaber, A. Complete decomposable MS-algebras. EKB Journal Management System, 2019; 27(1): 1-11. doi: 10.1186/s42787-019-0027-8

Complete decomposable MS-algebras

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1, 2019, Pages 1-11    PDF (568.9 K)
DOI: 10.1186/s42787-019-0027-8
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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