Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 5

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

Sayfa
1479–1487
Yayın Tarihi
2019-10-08
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:distributive lattices · boolean algebras · de Morgan algebras

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.

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Bu Makaleye Atıf Yap

BADAWY, A. E., ATALLAH, M. (2019). $MS$-intervals of an $MS$-algebra. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 5, 1479–1487. https://ajindex.com/articles/669344

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Kaynakça (14)

  1. A. Badawy, On a construction of modular GMS-algebras, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica, 54 (1), 19–31, 2015
  2. A. Badawy, On a certain Triple construction GMS-algebras, Appl. Math. Inf. Sci. Lett. 3 (3), 115–121, 2015
  3. A. Badawy and R. El-Fawal, Homomorphism and Subalgebras of decomposable MSalgebras, J. Egypt. Math. Soc. 25, 119–124, 2017
  4. A. Badawy and M.S. Rao, Closure ideals of MS-algebras, Chamchuri J. Math. 6, 31–46, 2014
  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. J. Berman, Notes on equational classes of algebras, Lecture Notes, Univ. of Chicago, 1974
  7. T.S. Blyth, Lattices and ordered Algebric Structures, Springer-Verlag, London Limited, 2005
  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
  9. T.S. Blyth and J.C. Varlet, Subvarieties of the class of MS-algebras, Proc. Roy. Soc. Edinburgh, 95A, 157–169, 1983
  10. T.S. Blyth and J.C. Varlet, Fixed points of MS-algebras, Bull. Soc. Roy. Sci. Liege, 53, 1–8, 1984
  11. T.S. Blyth and J.C. Varlet, The ideal lattice of an MS-algebra, Glasgow Math. J. 30, 137–143, 1988
  12. T.S. Blyth and J.C. Varlet, Ockham Algebras, Oxford University Press, London, 1994
  13. L. Congwen, Stonean kernels of MS-algebras, Wuhan Univ. J. Nat. Sci. 3 (4), 394–396, 1998
  14. G. Gr¨atzer, Lattice theory, first concepts and distributive lattices, Lecture Notes, Freeman, San Francisco, California, 1971.