Journal ArticleDOI
Unifing the prime and primary hyperideals under one frame in a Krasner (m, n)-hyperring
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In this article, the authors define the no-no relation between prime and primary hyperideals in a Krasner (m, n)-hyperring and define a no-No relation between the two structures.Abstract:
Prime hyperideals and primary hyperideals as two of the most important structures in a Krasner (m, n)-hyperring are defferent from each other in many aspects. In this paper, we aim to define the no...read more
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Krasner (m,n)-hyperring of fractions
TL;DR: In this article , the authors introduce the concept of hyperring of fractions generated by R and then in-vestigate the basic properties such hyperrings, where R is a commutative Krasner (m,n )-hyperring.
Journal ArticleDOI
2-Prime Hyperideals of Multiplicative Hyperrings
TL;DR: In this paper , a commutative multiplicative hyperring is defined, which is a class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation.
Some hyperideals defined on the basis of the intersection of all n-ary prime hyperideals
TL;DR: In this paper , the authors introduce notions of N -hyperideals, δ - N-hyperideal, ( k, n )-absorbing δ-N -Hyperideal and S -N -Hybrid Hyperideal.
Interval valued $(\alpha,\beta)$-fuzzy hyperideals in Krasner $(m,n)$-hyperrings
TL;DR: The notion of quasicoincidence of a fuzzy interval valued with an interval valued fuzzy set is concentrated and the concept of interval valued (α, β)-fuzzy hyperideals in Krasner (m,n)-hyperrings is studied.
References
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Journal ArticleDOI
On 2-absorbing ideals of commutative rings
TL;DR: The concept of 2-absorbing ideal was introduced in this paper, which is a generalisation of prime ideal, and it is shown that every nonzero proper ideal I of R is a 2 absorbing ideal.
Journal ArticleDOI
n-hypergroups and binary relations
V. Leoreanu-Fotea,Bijan Davvaz +1 more
TL;DR: The notion of a partial n-hypergroupoid, associated with a binary relation, induced by relations, is introduced and the transitivity of the relation @b in n-semihypergroups is studied.
N-ary hypergroups
B Davaz,Thomas Vougiouklis +1 more
TL;DR: In this paper, the fundamental relation β* on an n-ary hypergroup H is defined as the smallest equivalence relation such that H / β* is the n-yr group, and some related properties are investigated.