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Open Access Research Article

External direct products of BG-algebras

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pp. 1859–1870Vol. 28Issue 5August 2025DOI: 10.47974/JIM-1730XML
Received:
12 Apr 2022
Published Online:
18 Jun 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-1730
Pages:
1859–1870

Abstract

The external direct product (EDP) of BG-algebras, a generalisation of the direct product (DP) in the sense of Widianto, Gemawati, and Kartini [10], is a term we present in this study. In addition, we present the idea of the weak direct product (WDP) of BG-algebras. Finally, in light of the EDP of BG-algebras, we investigate BG-homomorphism (BGH) and anti-BG-homomorphism (ABGH) theorems.

Keywords

Subject Classifications

Primary 03G25Secondary 20K25

References

[1] Y. Imai and K. Is´eki, “On axiom systems of propositional calculi, XIV,” Proc. Japan Acad., vol. 42, no. 1, 6 pp. 19–22 (1966). 
[2] K. Iséki, “An algebra related with a propositional calculus,” Proc. Japan Acad., vol. 42, no. 1, pp. 26–29 (1966).
[3] J. Neggers and H. S. Kim, “On B-algebras,” Mat. Vesnik, vol. 54, pp. 21–29 (2002). 
[4] C. B. Kim and H. S. Kim, “On BG-algebras,” Demonstr. Math., vol. 61, no. 3, pp. 497–505 (2008).
[5] A. Setiani, S. Gemawati, and L. Deswita, “Direct product of BP-algebra,” Int. J. Math. Trends Technol., 13 vol. 66, no. 2, pp. 63–66 (2020).
[6] T. Senapati, M. Bhowmik, and M. Pal, “Triangular norm based fuzzy BG-algebras,” Afr. Mat., vol. 27, no. 1, 15 pp. 187–199 (2015).
[7] J. A. V. Lingcong and J. C. Endam, “Direct product of B-algebras,” Int. J. Algebra, vol. 10, no. 1, pp. 33–40 (2016).
[8] J. C. Endam and R. C. Teves, “Direct product of BF-algebras,” Int. J. Algebra, vol. 10, no. 3, pp. 125–132 (2016).
[9] G. A. Abebe, “On the theory of BRK-algebras,” [Doctoral dissertation]. Department of Mathematics, Addis Ababa University (2018).
[10] S. Widianto, S. Gemawati, and Kartini, “Direct product in BG-algebras,” Int. J. Algebra, vol. 13, no. 5, pp. 239–247 (2019). 
[11] J. Kavitha and R. Gowri, “Direct product of GK algebra,” Indian J. Technol., vol. 14, no. 35, pp. 2802–2805 (2018). 
[12] R. Muthuraj, M. Sridharan, and P. M. Sitharselvam, “Fuzzy BG-ideals in BG-algebra,” Int. J. Comput. Appl., vol. 2, no. 1, pp. 26–30 (2010).
[13] C. Chanmanee, R. Chinram, R. Prasertpong, P. Julatha, and A. Iampan, “Direct product of infinite family of B-algebras,” Eur. J. Pure Appl. Math., vol. 15, no. 3, pp. 999–1014 (2022).
[14] C. Chanmanee, R. Chinram, N. Phrommarat, P. Julatha, N. Lekkoksung, and A. Iampan, “External and weak direct products of UP (BCC)-algebras,” J. Math. Comput. Sci., JMCS, vol. 29, no. 1, pp. 90–105 (2023).

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