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Characterizations of semihyperrings by their \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-fuzzy hyperideals - MaRDI portal

Characterizations of semihyperrings by their \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-fuzzy hyperideals (Q364330)

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scientific article; zbMATH DE number 6206782
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English
Characterizations of semihyperrings by their \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-fuzzy hyperideals
scientific article; zbMATH DE number 6206782

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    Characterizations of semihyperrings by their \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-fuzzy hyperideals (English)
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    9 September 2013
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    Summary: The concepts of \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-fuzzy bi-hyperideals and \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-fuzzy quasi-hyperideals of a semihyperring are introduced, and some related properties of such \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-fuzzy hyperideals are investigated. In particular, the notions of hyperregular semihyperrings and left duo semihyperrings are given, and their characterizations in terms of hyperideals and \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-fuzzy hyperideals are studied.
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