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383450

Complete decomposable MS-algebras

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Last updated: 05 Jan 2025

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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.

DOI

10.1186/s42787-019-0027-8

Keywords

MS-algebras, Complete lattice, Complete decomposable MS-algebras, Complete decomposable MS-triples, Triple homomorphisms, Complete homomorphisms

Authors

First Name

Abd El-Mohsen

Last Name

Badawy

MiddleName

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Affiliation

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

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Orcid

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First Name

Ahmed

Last Name

Gaber

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Volume

27

Article Issue

1

Related Issue

50652

Issue Date

2019-12-01

Receive Date

2024-10-02

Publish Date

2019-12-01

Page Start

1

Page End

11

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 27_Issue 1_Pages 1-11.pdf

PDF . 582.6kB

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https://joems.journals.ekb.eg/article_383450.html

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https://joems.journals.ekb.eg/service?article_code=383450

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383,450

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Complete decomposable MS-algebras

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Article

Created At

21 Dec 2024