Volume 66 | Issue 11 | Year 2020 | Article Id. IJMTT-V66I11P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I11P503
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.
[1] H. K. Abdullah, Complete Ideal and n-Ideal of B-algebra, Applied Mathematical Sciences, 11(2017), 1705 – 1713.
[2] G. Dymek and A. Walendziak, (Fuzzy) Ideals of BN-Algebras, Scientific World Journal, (2015), 1-9.
[3] E. Fitria, S. Gemawati, and Kartini, Prime Ideals in B-Algebras, International Journal of Algebra, 11(2017), 301-309.
[4] Y. Huang, Irreducible Ideals in BCI-algebras, Demonstratio Mathematica, 37(2004), 3–8.
[5] K. Iseki and S. Tanaka, Ideal Theory of BCK-algebras, Mathematica Japonica, 21(1976), 351–366.
[6] C. B. Kim and H. S. Kim, On BG-algebras, Demonstratio Mathematica, 41(2003), 497-505.
[7] C. B. Kim and H. S. Kim, On BM-algebras, Scientiae Mathematicae Japonicae Online, 2006, 215–221.
[8] C. B. Kim, On BN-algebras, Kyungpook Math, 53 (2013), 175-184.
[9] H. S. Kim, Y. H. Kim, dan J. Neggers, Coxeter Algebras and Pre-Coxeter Algebras in Smarandache Setting, Honam Mathematical Journal, 26(2004), 471–481.
[10] J. Neggers and H. S. Kim, On B-algebras, Mate. Vesnik, 54 (2002), 21-29.
[11] A. Walendziak, BM-algebras and Related Topics, Mathematica Slovaca, 64(2014), 1075–1082.
[12] A. Walendziak, On BF-algebras, Mathematica Slovaca, 57(2007), 119–128.
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