Classes of $F$-hyperideals In A Krasner $F^{(m,n)}$-Hyperring
| Autor: | Mahdi Anbarloei |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Journal of Mahani Mathematical Research, Vol 12, Iss 2, Pp 481-496 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2251-7952 2645-4505 |
| DOI: | 10.22103/jmmr.2023.20337.1348 |
| Popis: | Krasner $F^{(m,n)}$-hyperrings were introduced and investigated by Farshi and Davvaz. In this paper, our purpose is to define and characterize three particular classes of $F$-hyperideals in a Krasner $F^{(m,n)}$-hyperring, namely prime $F$-hyperideals, maximal $F$-hyperideals and primary $F$-hyperideals, which extend similar concepts of ring context. Furthermore, we examine the relations between these structures. Then a number of major conclusions are given to explain the general framework of these structures. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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