Volume 66 | Issue 10 | Year 2020 | Article Id. IJMTT-V66I10P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I10P510
In this paper, the notion of direct product of BP-algebra are introduced and some of related properties are investigated. Also, the notion of direct product of 0-commutative BP-algebra and BP-homomorphism are studied. Then, the notion of direct product in BP-algebra is expanded to finite family of BP-algebra and some of its properties are investigated.
[1] S. S. Ahn and J. S. Han, On BP-algebras, Hacettepe Journal of Mathematics and Statistics, 42 (2013), 551-557.
[2] K. Iseki, On BCI-algebras, Mathematics Seminar Notes, 8 (1980), 125-130.
[3] C. B. Kim and H. S. Kim, On BG-algebras, Demonstratio Mathematica, 41 (2003), 497-505.
[4] C. B. Kim and H. S. Kim, On BN-algebras, Kyungpook Math, 53 (2013), 175-184.
[5] H. S. Kim and H. G. Park, On 0-commutative B-algebras, Scientiae Mathematicae Japonicae Online, (2005), 31-36.
[6] J. A. V. Lingcong and J. C. Endam, Direct Product of B-algebras, International Journal of Algebra, 10 (2016), 33-40.
[7] J. Neggers and H. S. Kim, On B-algebras, Matematicki Vesnik, 54 (2002), 21-29.
[8] C. Teves and Joemar C. Endam, Direct Product of Bf-algebras, International Journal of Algebra, 10 (2016), 125-132.
[9] S. Widianto, S. Gemawati, and Kartini, Direct Product in BG-algebras, International Journal of Algebra, 13 (2019), 239 - 247.
[10] S. A. N. Zadeh, A. Radfar, and A. B. Saied, On BP-algebras and QS-algebras, The Journal of Mathematics and Computer Science, 5 (2012), 17-21.
Amelia Setiani, Sri Gemawati, Leli Deswita, "Direct Product of BP-Algebra," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 10, pp. 63-69, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I10P510