Research Article

$MS$-intervals of an $MS$-algebra

Volume: 48 Number: 5 October 8, 2019
  • Abd El-mohsen Badawy *
  • Mohamad Atallah
EN

$MS$-intervals of an $MS$-algebra

Abstract

The concept of $MS$-intervals and its properties on $MS$-algebras are introduced and the connection between an $MS$-algebra and the family of its $MS$-intervals is established.

Keywords

References

  1. [1] A. Badawy, On a construction of modular GMS-algebras, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica, 54 (1), 19–31, 2015.
  2. [2] A. Badawy, On a certain Triple construction GMS-algebras, Appl. Math. Inf. Sci. Lett. 3 (3), 115–121, 2015.
  3. [3] A. Badawy and R. El-Fawal, Homomorphism and Subalgebras of decomposable MSalgebras, J. Egypt. Math. Soc. 25, 119–124, 2017.
  4. [4] A. Badawy and M.S. Rao, Closure ideals of MS-algebras, Chamchuri J. Math. 6, 31–46, 2014.
  5. [5] A. Badawy, D. Guffova and M. Haviar, Triple construction of decomposable MSalgebras, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica, 51 (2), 53–65, 2012.
  6. [6] J. Berman, Notes on equational classes of algebras, Lecture Notes, Univ. of Chicago, 1974.
  7. [7] T.S. Blyth, Lattices and ordered Algebric Structures, Springer-Verlag, London Limited, 2005.
  8. [8] T.S. Blyth and J.C. Varlet, On a common abstraction of de Morgan algebras and Stone algebras, Proc. Roy. Soc. Edinburgh, 94A, 301–308, 1983.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Abd El-mohsen Badawy * This is me
0000-0001-9995-4610

Publication Date

October 8, 2019

Submission Date

October 23, 2017

Acceptance Date

May 16, 2018

Published in Issue

Year 2019 Volume: 48 Number: 5

APA
Badawy, A. E.- mohsen, & Atallah, M. (2019). $MS$-intervals of an $MS$-algebra. Hacettepe Journal of Mathematics and Statistics, 48(5), 1479-1487. https://izlik.org/JA42JT99DE
AMA
1.Badawy AE mohsen, Atallah M. $MS$-intervals of an $MS$-algebra. Hacettepe Journal of Mathematics and Statistics. 2019;48(5):1479-1487. https://izlik.org/JA42JT99DE
Chicago
Badawy, Abd El-mohsen, and Mohamad Atallah. 2019. “$MS$-Intervals of an $MS$-Algebra”. Hacettepe Journal of Mathematics and Statistics 48 (5): 1479-87. https://izlik.org/JA42JT99DE.
EndNote
Badawy AE- mohsen, Atallah M (October 1, 2019) $MS$-intervals of an $MS$-algebra. Hacettepe Journal of Mathematics and Statistics 48 5 1479–1487.
IEEE
[1]A. E.- mohsen Badawy and M. Atallah, “$MS$-intervals of an $MS$-algebra”, Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 5, pp. 1479–1487, Oct. 2019, [Online]. Available: https://izlik.org/JA42JT99DE
ISNAD
Badawy, Abd El-mohsen - Atallah, Mohamad. “$MS$-Intervals of an $MS$-Algebra”. Hacettepe Journal of Mathematics and Statistics 48/5 (October 1, 2019): 1479-1487. https://izlik.org/JA42JT99DE.
JAMA
1.Badawy AE- mohsen, Atallah M. $MS$-intervals of an $MS$-algebra. Hacettepe Journal of Mathematics and Statistics. 2019;48:1479–1487.
MLA
Badawy, Abd El-mohsen, and Mohamad Atallah. “$MS$-Intervals of an $MS$-Algebra”. Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 5, Oct. 2019, pp. 1479-87, https://izlik.org/JA42JT99DE.
Vancouver
1.Abd El-mohsen Badawy, Mohamad Atallah. $MS$-intervals of an $MS$-algebra. Hacettepe Journal of Mathematics and Statistics [Internet]. 2019 Oct. 1;48(5):1479-87. Available from: https://izlik.org/JA42JT99DE