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Jacobson Radical in Unital Krasner Ternary Hyperrings
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ϕ -δ-Primary Hyperideals in Krasner Hyperrings
In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ-prime, ϕ-primary and ϕ-δ-primary hyperideals are introduced. The concept of δ-primary hyperideals is extended to ϕ-δ-primary hyperideals. Some characterizations of hyperideals are provided to classify them.
Hao Guan +6 more
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Fuzzy ordered Krasner hyperrings
Journal of Intelligent & Fuzzy Systems, 2015Abstract An ordered Krasner hyperring is a Krasner hyperring (R, + , ·) besides a partial order relation ≤ that satisfies the monotone conditions. In this paper, we introduce the concept of fuzzy hyperideals, fuzzy quasi-hyperideals and fuzzy bi-hyperideals of an ordered Krasner hyperring and we present some examples in this respect.
Davvaz, B., Leoreanu-Fotea, V.
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$��$-$��$-Primary Hyperideals in Krasner Hyperrings
2021In this paper, we study commutative Krasner hyperring with nonzero identity. $ $-prime, $ $-primary and $ $-$ $-primary hyperideals are introduced. We intend to extend the concept of $ $-primary hyperideals to $ $-$ $-primary hyperideals. We give some characterizations of hyperideals to classify them. We denote the set of all hyperideals of $\Re$
Kaya, Elif +4 more
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Krasner \(F^{(m,n)}\)-hyperrings.
2014Summary: In this paper, the notion of fuzzy Krasner \((m,n)\)-hyperrings (\(F^{(m,n)}\)-hyperrings) by using the notion of \(F^m\)-hyperoperations and \(F^n\)-operations is introduced and some related properties are investigated. In this regard, relationships between Krasner \(F^{(m,n)}\)-hyperrings and Krasner \((m,n)\)-hyperrings are considered.
Davvaz, B., Farshi, M.
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n-Ary k-absorbing hyperideals in krasner (m, n)-hyperrings
Afrika Matematika, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yassine, A. +2 more
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