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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 11 | Year 2020 | Article Id. IJMTT-V66I11P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I11P503

Complete Ideal and n-Ideal of BN-algebras


Sri Gemawati, Elsi Fitria, Abdul Hadi, Musraini M
Abstract

In this paper, the notion of complete ideal and n-ideal of BN-algebra are introduced and some of related properties are investigated. Also, we discuss the concept of complete ideal and n-ideal of BNhomomorphism and some of their properties are obtained. In addition, we gave some propositions that explained some relationships between these ideals types.

Keywords
BN-algebra, ideal, complete ideal, n-ideal, subalgebra.
References

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[8] C. B. Kim, On BN-algebras, Kyungpook Math, 53 (2013), 175-184.
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[11] A. Walendziak, BM-algebras and Related Topics, Mathematica Slovaca, 64(2014), 1075–1082.
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Citation :

Sri Gemawati, Elsi Fitria, Abdul Hadi, Musraini M, "Complete Ideal and n-Ideal of BN-algebras," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 11, pp. 52-59, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I11P503

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