On Homomorphism and Algebra of Functions on BE-algebras

Kulajit Pathak; Biman Ch. Chetia

doi:https://doi.org/10.14445/22315373/IJMTT-V16P509

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 16 | Number 1 | Year 2014 | Article Id. IJMTT-V16P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V16P509

On Homomorphism and Algebra of Functions on BE-algebras

Kulajit Pathak, Biman Ch. Chetia

Citation :

Kulajit Pathak, Biman Ch. Chetia, "On Homomorphism and Algebra of Functions on BE-algebras," International Journal of Mathematics Trends and Technology (IJMTT), vol. 16, no. 1, pp. 52-57, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V16P509

Abstract

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 and M.V.algebra in 2007. 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 present the different properties of homomorphism and multiplier maps on BE-algebra.

Keywords

BCK-algebra, BCI-algebra, BE-algebra, homomorphism, multiplier maps.

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