Homomorphisms and subalgebras of decomposable MS-algebras

Decomposable MS-algebras were introduced and characterized by Badawy et al. [1] in terms of decomposable MS-triple (M, D, φ), where M is a de Morgan algebra, D is a distributive lattice with unit and φ is a bounded lattice homomorphism of M into the lattice of filters of D. In this paper we study ho...

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Main Authors: Abd El-Mohsen Badawy, Ragaa. El-Fawal
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X16300669
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spelling doaj-0d4cda90b357411190c1d62420092b272020-11-25T01:37:52ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2017-04-0125211912410.1016/j.joems.2016.10.001Homomorphisms and subalgebras of decomposable MS-algebrasAbd El-Mohsen Badawy0Ragaa. El-Fawal1Department of Mathematics, Faculty of Science, Tanta University, EgyptDepartment of Mathematics, Faculty of Science (girls branch), El-Azhar University, EgyptDecomposable MS-algebras were introduced and characterized by Badawy et al. [1] in terms of decomposable MS-triple (M, D, φ), where M is a de Morgan algebra, D is a distributive lattice with unit and φ is a bounded lattice homomorphism of M into the lattice of filters of D. In this paper we study homomorphisms, subalgebras and solve the “Fill-in” problem for such decomposable MS-algebras.http://www.sciencedirect.com/science/article/pii/S1110256X16300669MS-algebrasDecomposable MS-algebrasHomomorphismsSubalgebras
collection DOAJ
language English
format Article
sources DOAJ
author Abd El-Mohsen Badawy
Ragaa. El-Fawal
spellingShingle Abd El-Mohsen Badawy
Ragaa. El-Fawal
Homomorphisms and subalgebras of decomposable MS-algebras
Journal of the Egyptian Mathematical Society
MS-algebras
Decomposable MS-algebras
Homomorphisms
Subalgebras
author_facet Abd El-Mohsen Badawy
Ragaa. El-Fawal
author_sort Abd El-Mohsen Badawy
title Homomorphisms and subalgebras of decomposable MS-algebras
title_short Homomorphisms and subalgebras of decomposable MS-algebras
title_full Homomorphisms and subalgebras of decomposable MS-algebras
title_fullStr Homomorphisms and subalgebras of decomposable MS-algebras
title_full_unstemmed Homomorphisms and subalgebras of decomposable MS-algebras
title_sort homomorphisms and subalgebras of decomposable ms-algebras
publisher SpringerOpen
series Journal of the Egyptian Mathematical Society
issn 1110-256X
publishDate 2017-04-01
description Decomposable MS-algebras were introduced and characterized by Badawy et al. [1] in terms of decomposable MS-triple (M, D, φ), where M is a de Morgan algebra, D is a distributive lattice with unit and φ is a bounded lattice homomorphism of M into the lattice of filters of D. In this paper we study homomorphisms, subalgebras and solve the “Fill-in” problem for such decomposable MS-algebras.
topic MS-algebras
Decomposable MS-algebras
Homomorphisms
Subalgebras
url http://www.sciencedirect.com/science/article/pii/S1110256X16300669
work_keys_str_mv AT abdelmohsenbadawy homomorphismsandsubalgebrasofdecomposablemsalgebras
AT ragaaelfawal homomorphismsandsubalgebrasofdecomposablemsalgebras
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