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Hyper structure theory applied to KU-algebras | ||
Journal of Hyperstructures | ||
دوره 6، شماره 2، اسفند 2017، صفحه 82-95 اصل مقاله (261.27 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22098/jhs.2017.2663 | ||
نویسندگان | ||
Samy M. Mostafa* 1؛ Fatema F. Kareem2؛ Bijan Davvaz3 | ||
1Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt | ||
2Department of Mathematics , Ibn-Al-Haitham college of Education, University of Baghdad, Iraq | ||
3Department of Mathematics, Yazd University, Yazd, Iran | ||
چکیده | ||
In this paper, the concept of a hyper structure KUalgebra is introduced and some related properties are investigated. Also, some types of hyper KU-algebras are studied and the relationship between them is stated. Then, a hyper KU-ideal of a hyper structure KU-algebra is studied and a few properties are obtained. Furthermore, the notion of a homomorphism is discussed. | ||
کلیدواژهها | ||
KU-algebra؛ hyper KU-algebra؛ hyper KU-ideal | ||
مراجع | ||
[1] R. A. Borzooei and M. Bakhshi, Some results on hyper BCK-algebras, Quasi-groups and Related Systems 11 (2004), 9-24. [2] Y. B. Jun, X. L. Xin, E. H. Roh, and M. M. Zahedi, Strong hyper BCK-ideals of hyper BCK-algebra, Math. Jap. 51(3) (2000), 493-498. [3] Y. B. Jun, M. M. Zahedi, X. L. Xin, and R. A. Borzooei, On hyper BCK-algebra,Italian J. Pure App. Math., Oxford Ser. 10 (2000), 127-136. [4] F. Marty, Sur une generalization de la notion de groupe, 8th Congress Math. Scandinaves, Stockholm (1934), 45-49. [5] S.M. Mostafa, M.A. Abd-Elnaby and M.M.M. Yousef, Fuzzy ideals of KU-Algebras, Int. Math. Forum, 63(6) (2011) 3139-3149. [6] C.Prabpayak and U.Leerawat, On ideals and congruence in KU-algebras, scientia Magna international book series, 5(1)(2009), 54-57. [7] C.Prabpayak and U.Leerawat,On isomorphisms of KU-algebras,scientia Magna international book series,5(3)(2009),25-31. [8] N.Yaqoob, S.M.Mostafa and M.A.Ansari, On cubic KU-ideals of KU-algebras, ISRN Algebra, (2013) Article ID935905, 10 pages. [9] M. M. Zahedi, R. A. Borzoei, Y. B. Jun and A. Hasankhani, Some results on hyper K-algebras,Scientiae Mathematicae 3(1) (2000), 53-59. | ||
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