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Hyper JK-algebras | ||
| Journal of Hyperstructures | ||
| دوره 11، شماره 2، اسفند 2022، صفحه 265-279 اصل مقاله (257.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2023.2580 | ||
| نویسنده | ||
| Mohammad Ali Hashemi* | ||
| Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran | ||
| چکیده | ||
| In this paper, we introduce the notion of hyper JK-algebras and investigate these algebras properties. Moreover, we present relationships between hyper JK-algebras and pseudo hyper BCK-algebras and hyper pseudo MV-algebras under some conditions. | ||
| کلیدواژه‌ها | ||
| Equality algebra؛ Hyper equality algebra؛ Hyper JK-algebra؛ Hyper pseudo MV-algebra؛ JK-algebra؛ pseudo hyper BCK-algebra | ||
| مراجع | ||
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[1] R. A. Borzooei, A. Rezazadeh and R. Ameri, On Hyper Pseudo BCK-algebras, Iran. J. Math. Sci. Inf., 9(1) (2014), 13-29. [2] R. A. Borzooei and O. Zahiri, On hyper pseuo MV-algebras, Ital. J. Pure Appl. Math. -N., 33 (2014), 201-224. [3] X. Y. Cheng, X. L. Xin and Y. B. Jun, Hyper equality algebras, Quant. Logic Soft Comput., 2016, Adv. Intel. Sys. Comput., 510 (2016), 415-428. [4] L. C. Ciungu, Internal states on equality algebras, Soft Computing, 19 (2015), 939-953. [5] A. Dvurecenskij and O. Zahiri, Pseudo equality algebras: revision, Soft Comput., 20(6)(2016), 2091-2101. [6] M. A. Hashemi and R. A. Borzooei, Tense like equality algebras, Categ. General Algeb. Struct. Appl., 13(1) (2020), 143-166. [7] M. A. Hashemi and R. A. Borzooei, Results on hyper equality algebras, J. Math. Extension, 14(3) (2020), 169-193. [8] S. Jenei, Equality algebras, Studia Log., 100 (2012), 1201-1209. [9] S. Jenei, Equality algebras, Proceedings of the CINTI2010 Conference (11th IEEE International Symposium on Computational Intelligence and Informatics), Budapest, 2010. [10] S. Jenei and L. Korodi, Pseudo equality algebras, Arc. Math. Log., 52 (2013), 469-481. [11] F. Zebardast, R. A. Borzooei and M. Aaly Kologani, Results on equality algebras, Info. Sci., 381 (2017), 270-282. [12] M. Zarean, R. A. Borzooei and O. Zahiri, On state equality algebras, Quasigroups Relat. Syst., 25 (2017), 307-326. | ||
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آمار تعداد مشاهده مقاله: 14 تعداد دریافت فایل اصل مقاله: 25 |
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