Classes of $F$-hyperideals In A Krasner $F^{(m,n)}$-Hyperring

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Anbarloei Mahdi

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Journal Paper

Paper Information

Journal: Journal of Mahani Mathematical Research Year:2023 | Volume:12 | Issue:2 Page(s): 481-496

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Information Journal Paper

Title

Classes of $F$-hyperideals In A Krasner $F^{(m,n)}$-Hyperring

Author(s)

Anbarloei Mahdi | Issue Writer Certificate

Keywords

Prime $F$-hyperideal

Maximal $F$-hyperideal

Primary $F$-hyperideal

Krasner $F^{(m

n)}$-hyperring

Abstract

‎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.

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