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n-fold Commutative Hyper K-ideals | ||
Caspian Journal of Mathematical Sciences | ||
مقاله 6، دوره 1، شماره 2، مهر 2012، صفحه 94-103 اصل مقاله (81.86 K) | ||
نوع مقاله: Research Articles | ||
نویسندگان | ||
P. Babari1؛ M. Pirasghari2؛ M. M. Zahedi2 | ||
1Department of Mathematics, Faculty of Mathematics, Tarbiat Modares University, Tehran, Iran | ||
2Department of Mathematics, Faculty of Mathematics, Tarbiat Modares University, Tehran, Iran. | ||
تاریخ دریافت: 08 مرداد 1391، تاریخ پذیرش: 08 مرداد 1391 | ||
چکیده | ||
In this paper, we are supposed to introduce the definitions of n-fold commutative, and implicative hyper K-ideals. These definitions are the generalizations of the definitions of commutative, and implicative hyper K-ideals, respectively, which have been defined in [12]. Then we obtain some related results. In particular we determine the relationships between n-fold implicative hyper K-ideal and n-fold commutative hyper K-ideals of a hyper K-algebra of order 3, which satisfy the simple condition. Then, generally we study n-fold commutative hyper K-ideals in simple hyper K-algebras. | ||
کلیدواژهها | ||
Hyper K-algebra؛ Weak hyper K-ideal؛ Hyper K-ideal؛ n-fold Commutative, Implicative hyper K-ideals, Simple condition | ||
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