EN
On Different Definitions of Hyper Pseudo BCC-algebras
Abstract
We study hyper pseudo BCC-algebras which are a common generalization of hyper BCC-algebras and hyper BCK-algebras. In particular, we introduce different notion of hyper pseudo BCC-algebras and describe the relationship among them. Then, by choosing one of these definitions, we investigate for its related properties.
Keywords
References
- Borzooei R.A., Dudek W.A., Koohestani N., On hyper BCC-algebras, International Journal of Mathematics and Mathematical Sciences, 1-18, 2006.
- Borzooei R.A., Rezazadeh A., Ameri R., On hyper pseudo BCK-algebras, Iranian Journal of Mathematical Sciences and Informatics, 9(1), 13-29, 2014.
- Dudek W.A., On BCC-algebras, Logique & et Analyse Nouvelle Série, 33(129-130), 103-111, 1990.
- Iseki K., Tanaka S., An introduction to the theory of BCK-algebras, Mathematica Japonica, 23, 1-26, 1978.
- Jun Y.B., Zahedi M.M., Xin X.L., Borzooei R.A., On hyper BCK-algebras, Italian Journal of Pure and Applied Mathematics, 8, 127-136, 2000.
- Komori Y., The class of BCC-algebras is not a variety, Mathematica Japonica, 29(3), 391-394, 1984.
- Marty F., Sur une generalization de la notion de groupe, In Eighth Congress Math. Scandinaves, 45-49, 1934.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
July 31, 2023
Submission Date
July 20, 2022
Acceptance Date
June 6, 2023
Published in Issue
Year 2023 Volume: 4 Number: 2
APA
Sürgevil Uzay, D., & Fırat, A. (2023). On Different Definitions of Hyper Pseudo BCC-algebras. Fundamentals of Contemporary Mathematical Sciences, 4(2), 56-65. https://doi.org/10.54974/fcmathsci.1145287
AMA
1.Sürgevil Uzay D, Fırat A. On Different Definitions of Hyper Pseudo BCC-algebras. FCMS. 2023;4(2):56-65. doi:10.54974/fcmathsci.1145287
Chicago
Sürgevil Uzay, Didem, and Alev Fırat. 2023. “On Different Definitions of Hyper Pseudo BCC-Algebras”. Fundamentals of Contemporary Mathematical Sciences 4 (2): 56-65. https://doi.org/10.54974/fcmathsci.1145287.
EndNote
Sürgevil Uzay D, Fırat A (July 1, 2023) On Different Definitions of Hyper Pseudo BCC-algebras. Fundamentals of Contemporary Mathematical Sciences 4 2 56–65.
IEEE
[1]D. Sürgevil Uzay and A. Fırat, “On Different Definitions of Hyper Pseudo BCC-algebras”, FCMS, vol. 4, no. 2, pp. 56–65, July 2023, doi: 10.54974/fcmathsci.1145287.
ISNAD
Sürgevil Uzay, Didem - Fırat, Alev. “On Different Definitions of Hyper Pseudo BCC-Algebras”. Fundamentals of Contemporary Mathematical Sciences 4/2 (July 1, 2023): 56-65. https://doi.org/10.54974/fcmathsci.1145287.
JAMA
1.Sürgevil Uzay D, Fırat A. On Different Definitions of Hyper Pseudo BCC-algebras. FCMS. 2023;4:56–65.
MLA
Sürgevil Uzay, Didem, and Alev Fırat. “On Different Definitions of Hyper Pseudo BCC-Algebras”. Fundamentals of Contemporary Mathematical Sciences, vol. 4, no. 2, July 2023, pp. 56-65, doi:10.54974/fcmathsci.1145287.
Vancouver
1.Didem Sürgevil Uzay, Alev Fırat. On Different Definitions of Hyper Pseudo BCC-algebras. FCMS. 2023 Jul. 1;4(2):56-65. doi:10.54974/fcmathsci.1145287