On quasi-ideals of Γ-semihyperrings
The concept of quasi-ideals, minimal quasi-ideals for Γsemihyperrings are introduced. Characterization of quasi-ideals and of minimal quasi-ideals of Γ-semihyperring with the help of ideals of Γ-semihyperrings have been taken into account. It is proved that for a Γ-semihyperring R with zero, one can...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2019-12-01
|
| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2619_aca5b6aa2a372934ccc62b0d57f2d4e0.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850095001352011776 |
|---|---|
| author | Jitendrasing Jaysing Patil Kishor Fakira Pawar |
| author_facet | Jitendrasing Jaysing Patil Kishor Fakira Pawar |
| author_sort | Jitendrasing Jaysing Patil |
| collection | DOAJ |
| description | The concept of quasi-ideals, minimal quasi-ideals for Γsemihyperrings are introduced. Characterization of quasi-ideals and of minimal quasi-ideals of Γ-semihyperring with the help of ideals of Γ-semihyperrings have been taken into account. It is proved that for a Γ-semihyperring R with zero, one can find a quasi-ideal of R generated by X, where X is any non empty subset of R. Also the notion of quasi-simple Γ-semihyperring is introduced and proved some properties in this respect. |
| format | Article |
| id | doaj-art-5595d3d88c564b41b929cb4316eefe32 |
| institution | DOAJ |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2019-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-5595d3d88c564b41b929cb4316eefe322025-08-20T02:41:32ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662019-12-018212313410.22098/jhs.2019.26192619On quasi-ideals of Γ-semihyperringsJitendrasing Jaysing Patil0Kishor Fakira Pawar1Department of Mathematics, Indraraj Arts, Commerce and Science college, Sillod, Dr. Babashasheb Ambedkar Marathwada University Aurangabad- 431 112, India.Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, 425 001 M.S., IndiaThe concept of quasi-ideals, minimal quasi-ideals for Γsemihyperrings are introduced. Characterization of quasi-ideals and of minimal quasi-ideals of Γ-semihyperring with the help of ideals of Γ-semihyperrings have been taken into account. It is proved that for a Γ-semihyperring R with zero, one can find a quasi-ideal of R generated by X, where X is any non empty subset of R. Also the notion of quasi-simple Γ-semihyperring is introduced and proved some properties in this respect.https://jhs.uma.ac.ir/article_2619_aca5b6aa2a372934ccc62b0d57f2d4e0.pdfquasi-idealminimal quasi-idealquasi-simpleγ-semihyperring |
| spellingShingle | Jitendrasing Jaysing Patil Kishor Fakira Pawar On quasi-ideals of Γ-semihyperrings Journal of Hyperstructures quasi-ideal minimal quasi-ideal quasi-simple γ-semihyperring |
| title | On quasi-ideals of Γ-semihyperrings |
| title_full | On quasi-ideals of Γ-semihyperrings |
| title_fullStr | On quasi-ideals of Γ-semihyperrings |
| title_full_unstemmed | On quasi-ideals of Γ-semihyperrings |
| title_short | On quasi-ideals of Γ-semihyperrings |
| title_sort | on quasi ideals of γ semihyperrings |
| topic | quasi-ideal minimal quasi-ideal quasi-simple γ-semihyperring |
| url | https://jhs.uma.ac.ir/article_2619_aca5b6aa2a372934ccc62b0d57f2d4e0.pdf |
| work_keys_str_mv | AT jitendrasingjaysingpatil onquasiidealsofgsemihyperrings AT kishorfakirapawar onquasiidealsofgsemihyperrings |