Quadruple construction of decomposable double MS-algebras-Reference-Cited by-同舟云学术

Quadruple construction of decomposable double MS-algebras

Published:2020-09-27 Issue:5 Volume:70 Page:1041-1056
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Badawy Abd El-Mohsen¹,Hussein Salah El-Din S.²,Gaber Ahmed²

Affiliation:

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

2. Department of Mathematics , Faculty of Science Ain Shams University , Tanta , Egypt

Abstract

Abstract This paper is devoted to the study of the class of decomposable double MS-algebras. Necessary and sufficient conditions for a decomposable MS-algebra to be a decomposable double MS-algebra are deduced. We construct decomposable double MS-algebras by means of decomposable MS-quadruples and we prove that there exists a one-to-one correspondence between decomposable double MS-algebras and decomposable MS-quadruples. Moreover, a construction of decomposable K 2-algebras (Stone algebras) by means of K 2-quadruples (Stone quadruples) is given. We conclude by introducing and characterizing isomorphisms of decomposable double MS-algebras in terms of decomposable MS-quadruples.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0412/pdf

Reference25 articles.

1. Badawy, A.—Guffova D.—Haviar, M.: Triple construction of decomposable MS-algebras, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 51(2) (2012), 53–65.

2. Badawy, A.—El-Fawal, R.: Homomorphisms and subalgebras of decomposable MS-algebra, J. Egyptian Math. Soc. 25(2) (2017), 119–124.

3. Badawy, A.—Atallah, M.: MS-intervals of an MS-algebra, Hacet. J. Math. Stat. 48(5) (2019), 1479–1487.

4. Badawy, A.: Balanced factor congruences of double MS-algebras, J. Egyptian Math. Soc. 27(6) (2019), 1–15.

5. Badawy, A.: dL-Filters of principal MS-algebras, J. Egyptian Math. Soc. 23 (2015), 463–469.

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