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Quadruple construction of decomposable double \emph{MS}-algebras

In: Mathematica Slovaca, vol. 70, no. 5
Abd El-Mohssen Badawy - Salah El-Din S. Hussein - Ahmed Gaber

Details:

Year, pages: 2020, 1041 - 1056
Keywords:
De Morgan algebras, Stone algebras, MS-algebras, decomposable MS-algebras, decomposable double MS-algebras, decomposable MS-quadruples, isomorphisms
About article:
This paper is devoted to the study of the class of decomposable double \emph{MS}-algebras. Necessary and sufficient conditions for a decomposable \emph{MS}-algebra to be a decomposable double \hbox{\emph{MS}-algebra} are deduced. We construct decomposable double \emph{MS}-algebras by means of decomposable $MS$-quadruples and we prove that there exists a one-to-one correspondence between decomposable double \emph{MS}-algebras and decomposable \emph{MS}-quadruples. Moreover, a construction of decomposable $K2$-algebras (Stone algebras) by means of $K2$-quadruples (Stone quadruples) is given. We conclude by introducing and characterizing isomorphisms of decomposable double \emph{MS}-algebras in terms of decomposable \emph{MS}-quadruples.
How to cite:
ISO 690:
Badawy, A., Hussein, S., Gaber, A. 2020. Quadruple construction of decomposable double \emph{MS}-algebras. In Mathematica Slovaca, vol. 70, no.5, pp. 1041-1056. 0139-9918. DOI: https://doi.org/ 10.1515/ms-2017-0412

APA:
Badawy, A., Hussein, S., Gaber, A. (2020). Quadruple construction of decomposable double \emph{MS}-algebras. Mathematica Slovaca, 70(5), 1041-1056. 0139-9918. DOI: https://doi.org/ 10.1515/ms-2017-0412
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 27. 9. 2020