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 |