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Abstract
First, this article presents the definition of left-right derivation and right-left derivation in BP-algebra, and their characteristic are explored. Then, we define the concept of inside and outside fq-derivation of BP-algebras. Finally, their properties are explored. Furthermore, the notion of fq-derivation within BP-algebra is synonymous with B-algebra; however, they do exhibit variations in their respective characteristics.
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References
- Ahn, S.S. and Han, J. S., On BP-algebras, Hacettepe Journal of Mathematics and Statistics, 42 (2013), 551-557.
- Al-Shehrie, V., Derivations of B-algebras, Journal of King Abdulaziz University-Science, 22 (2010), 71-83.
- Ashraf, M., Ali, S. and Haetinger, C., On derivations in rings and their applications, The Aligarh Bulletin of Mathematics, 25 (2006), 79-107.
- Chanmanee, C., Prasertpong, R., Julatha, P., Kalyani, U. V., Eswarlal, T. and Iampan, A., A note on external direct products of BP-algebras, Mathematics and Statistics, 11 (2023), 206-212.
- Gemawati, S., Sirait, A., Musraini, and Fitria, E., fq-Derivations of BN1-algebras, International Journal of Mathematics Trends and Technology, 67 (2021), 1-13.
- Gemawati, S., Musraini, M., Hadi, A., Zakaria, L. and Fitria, E., On r-ideals and m-k-ideals in BN-algebras, Axioms, 11 (2022).
- Hussein, A. T. and Shallal, E. A., Some properties of BP-space, Mathematics and Statistics, 10 (2022), 195-200.
- Muangkarn, P., Suanoom, C., Pengyim, P. and Iampan, A., fq-Derivations of B-algebras, Journal of Mathematical and Computational Science, 11 (2021), 2047-2057.
- Neggers, J. and Kim, H. S., On B-algebras, Mate. Vesnik, 54 (2002), 21-29.
- Sik Kim, H. and Goo Park, H., On 0-commutative B-algebras, Scientiae Mathematicae Japonicae Online, 18 (2005), 31-36.
- Yattaqi, E. , Gemawati, S. and Hasbiyati, I., fq-Derivasi di BM-aljabar, Jambura Journal of Mathematics, 3 (2021), 155-166
References
Ahn, S.S. and Han, J. S., On BP-algebras, Hacettepe Journal of Mathematics and Statistics, 42 (2013), 551-557.
Al-Shehrie, V., Derivations of B-algebras, Journal of King Abdulaziz University-Science, 22 (2010), 71-83.
Ashraf, M., Ali, S. and Haetinger, C., On derivations in rings and their applications, The Aligarh Bulletin of Mathematics, 25 (2006), 79-107.
Chanmanee, C., Prasertpong, R., Julatha, P., Kalyani, U. V., Eswarlal, T. and Iampan, A., A note on external direct products of BP-algebras, Mathematics and Statistics, 11 (2023), 206-212.
Gemawati, S., Sirait, A., Musraini, and Fitria, E., fq-Derivations of BN1-algebras, International Journal of Mathematics Trends and Technology, 67 (2021), 1-13.
Gemawati, S., Musraini, M., Hadi, A., Zakaria, L. and Fitria, E., On r-ideals and m-k-ideals in BN-algebras, Axioms, 11 (2022).
Hussein, A. T. and Shallal, E. A., Some properties of BP-space, Mathematics and Statistics, 10 (2022), 195-200.
Muangkarn, P., Suanoom, C., Pengyim, P. and Iampan, A., fq-Derivations of B-algebras, Journal of Mathematical and Computational Science, 11 (2021), 2047-2057.
Neggers, J. and Kim, H. S., On B-algebras, Mate. Vesnik, 54 (2002), 21-29.
Sik Kim, H. and Goo Park, H., On 0-commutative B-algebras, Scientiae Mathematicae Japonicae Online, 18 (2005), 31-36.
Yattaqi, E. , Gemawati, S. and Hasbiyati, I., fq-Derivasi di BM-aljabar, Jambura Journal of Mathematics, 3 (2021), 155-166