Results 81 to 90 of about 255 (98)

Jacobson Radical in Unital Krasner Ternary Hyperrings

Asia Pacific Journal of Mathematics
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ϕ -δ-Primary Hyperideals in Krasner Hyperrings

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
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, Elif Kaya, Melis Bolat, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Hasan Dinçer   +6 more
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Fuzzy ordered Krasner hyperrings

Journal of Intelligent & Fuzzy Systems, 2015
Abstract 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

2021
In 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, Bolat, Melis, Onar, Serkan, Ersoy, Bayram Ali, Hila, Kostaq   +4 more
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Krasner \(F^{(m,n)}\)-hyperrings.

2014
Summary: 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, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yassine, A., Nikmehr, M. J., Nikandish, R.   +2 more
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Soft intersection hyperstructures: Application in Krasner hyperrings

Journal of Intelligent & Fuzzy Systems, 2019
 In this paper first, we define the notions of left and right soft int-hypergroups and derive some of their basic properties. Second, we study these concepts in the context of complete hypergroups and polygroups. Then, we introduce the notions of left and right soft int-additive hyperrings and soft int-hyperideal. In special case we study these notions
Zare, Tahereh, Jafarpour, Morteza, Çitak, Filiz, Aghabozorgi, Hossien   +3 more
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Krasner Hyperring Theory

2023
Bijan Davvaz, Violeta Leoreanu-Fotea
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Some properties of hypermodules over Krasner hyperrings

A system (R,+,.) is said to be a Krasner hyperring if (i) (R,+) is a canonical hypergroup, (ii) (R,.) is a semigroup with zero 0 where 0 is the scalar identity of (R,+) and (iii) x.(y+z)=x.y+x.z and (y+z).x=y.x+z.x for all x,y,z [is an element of a set] R.
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r-Subhypermodules on Krasner Hyperrings

2021
Ersoy, Bayram Ali, Bolat, Melis, Onar, Serkan, Kaya, Elif   +3 more
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