International Journal of Mathematics Trends and Technology
Volume 53 | Number 5 | Year 2018 | Article Id. IJMTT-V53P550 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P550
Since the introduction of the concepts of BCK and BCI algebras by K. Iseki in 1966, some more systems of similar type have been introduced and studied by a number of authors in the last two decades. K. H. Kim and Y. H. Yon studied dual BCK algebra[1] and M.V. algebra in 2007[4]. H. S. Kim and Y. H. Kim in 2006 have introduced the concept of BE-algebra as a generalization of dual BCK- algebra. Here we want to introduce some specific operators and their properties and a poset on BE-algebras.
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[2] Kim, K.H. ; A note on BE – algebras, Sci. Math. Japon. 72(2010), No. 2, 127 – 132.
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[4] Kim, K.H. and Yon, Y.H. ; Dual BCK – algebra and MV – algebra, Sci. Math. Japon. 66(2007), 247 – 253.
[5] Pathak, K., Sabhapandit, P. and Chetia B.C. ; On Cartesian product of BE/CI-algebras, J. Assam Acad. Maths. 6(2013), 33-40.
[6] Pathak, K., Sabhapandit, P. and Chetia B.C. ; Cartesian Product of BE/CI-algebras with Essences and Atoms, Acta Ciencia Indica, Vol. XLM (2014), No.3, 271-279.
[7] Pathak, K. and Chetia B.C. ; On Homomorphism and Algebra of Functions on BE-algebras, International Journal of Mathematics Trends and Technology, Vol. 16(2014), No.1, 52-57.
Kulajit Pathak, Pulak Sabhapandit, "Some Specific Operators and a Poset on BE-Algebras," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 5, pp. 416-419, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P550
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