Ternary Γ-semihyperrings: ideals, regular ideals and fundamental semirings

The notion of ternary Γ -semihyperrings is a generalization of semirings. In a ternary Γ -semihyperring, addition is a hyperoperation and multiplication is a ternary hyperoperation. Our main purpose of this paper is to introduce regular and simple ternary Γ -semihyperrings and study the notions of r...

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Bibliographic Details
Published in:Afrika mathematica 2022-06, Vol.33 (2), Article 50
Main Authors: Davvaz, B., Dehkordi, S. O.
Format: Article
Language:English
Subjects:
Applications of Mathematics
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Mathematics Education
Multiplication
Relocation
Rings (mathematics)
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Summary:The notion of ternary Γ -semihyperrings is a generalization of semirings. In a ternary Γ -semihyperring, addition is a hyperoperation and multiplication is a ternary hyperoperation. Our main purpose of this paper is to introduce regular and simple ternary Γ -semihyperrings and study the notions of right (left) fundamental semirings, and we show that there is a covariant functor between the category of relocation ternary Γ -semihyperrings and semirings.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-022-00978-x