On bi-ideals of Γ-semihyperrings
The concept of Γ-semihyperrings is a generalization of semirings, semihyperrings and Γ-semirings. The notion of bi-ideals and minimal bi-ideals in Γ-semihyperrings is introduced with several examples. We also made some ideal theoretic characterization of bi-ideals and minimal bi-ideals in Γ-semihyp...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2023-12-01
|
| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2562_0257444165c6a60e3029e8d6efcd2434.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | The concept of Γ-semihyperrings is a generalization of semirings, semihyperrings and Γ-semirings. The notion of bi-ideals and minimal bi-ideals in Γ-semihyperrings is introduced with several examples. We also made some ideal theoretic characterization of bi-ideals and minimal bi-ideals in Γ-semihyperrings. Then the notion of bi-simple Γ-semihyperrings is introduced and it is proved that ``If R is a Γ-semihyperring without zero, then R is a bi-simple Γ-semihyperring if and only if (k)b=R, for all k∈ R, where (k)b is a bi-ideal generated by k." |
|---|---|
| ISSN: | 2251-8436 2322-1666 |