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Classes of fuzzy hyperideals

Motameni Maedeh (Islamic Azad University, Department of Mathematics, Qaemshahr Branch, Qaemshahr, Iran)
Leoreanu-Fotea Violeta ("Al.I. Cuza" University, Faculty of Mathematics, Iasi, Romania)
Ameri Reza (University of Teheran, School of Mathematics, Statistics and Computer Sciences, Tehran, Iran)

In this paper we study fuzzy hyperideals of a fuzzy hyperring, we define and analyze two particular kinds of fuzzy hyperideals, which extend similar notions of ring context, namely prime fuzzy hyperideals and maximal fuzzy hyperideals. Moreover, we study the hyperideal transfer through a fuzzy hyperring homomorphism, particularly for prime fuzzy hyperideals and for maximal fuzzy hyperideals.

Keywords: fuzzy hyperring, fuzzy hyperideal, prime fuzzy hyperideal, maximal fuzzy hyperideal