Academic Journal

Study of Properties of Several Kinds of Hyperideals in Ordered Ternary Semihypergroups

التفاصيل البيبلوغرافية
العنوان: Study of Properties of Several Kinds of Hyperideals in Ordered Ternary Semihypergroups
المؤلفون: Changphas, T. (Thawhat), Davvaz, B. (Bijan)
المصدر: Journal of the Indonesian Mathematical Society
بيانات النشر: Indonesian Mathematical Society
سنة النشر: 2021
المجموعة: neliti (Indonesia's Think Tank Database)
مصطلحات موضوعية: Algebraic hyperstructure, ordered ternary semihypergrouip, ternary subsemihypergroup, (bi, quasi-) hyperideal, prime hyperideal, quasi-simple, Indonesia
الوصف: A non-empty subset S together with an associative function f from S × S×S into the family of all non-empty subsets of S is called a ternary semihypergroup. In this paper, we consider a semihypergroup (S, f) besides a binary relation ≤, where ≤ is a partial order relation on S such that satisfies the monotone condition. This structure is called an ordered ternary semihypergroup. We introduce and investigate the notions of bi-hyperideal and quasi-hyperideal in ordered ternary semihyperroups. In particular, we prove that an ordered ternary semihypergroup is left and right simple if and only if it does not contain proper bi-hyperideals
نوع الوثيقة: article in journal/newspaper
وصف الملف: application/pdf
اللغة: Indonesian
Relation: https://www.neliti.com/publications/441629/study-of-properties-of-several-kinds-of-hyperideals-in-ordered-ternary-semihyper
الاتاحة: https://www.neliti.com/publications/441629/study-of-properties-of-several-kinds-of-hyperideals-in-ordered-ternary-semihyper
Rights: (c) Journal of the Indonesian Mathematical Society, 2021
رقم الانضمام: edsbas.B8DED1
قاعدة البيانات: BASE