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71.
Fundamental relation on m-idempotent hyperrings
Morteza Norouzi, Irina Elena Cristea, 2017, original scientific article

Keywords: Hyperring, m-idempotent, Strongly regular relation
Published in RUNG: 16.01.2018; Views: 3246; Downloads: 197
.pdf Full text (453,41 KB)

72.
Height of Prime Hyperideals in Krasner Hyperrings
Irina Elena Cristea, Hashem Bordbar, 2017, original scientific article

Keywords: hyperring, prime/maximal hyperideal, dimension of a hyperring, height of a prime hyperideal
Published in RUNG: 03.01.2018; Views: 3540; Downloads: 0
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73.
Composition in EL-hyperstructures
Michal Novak, Irina Elena Cristea, 2017, original scientific article

Keywords: composition hyperring, partially ordered semigroup, hyperstructure
Published in RUNG: 30.10.2017; Views: 3592; Downloads: 0
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74.
Reducibility in hypergroups (crisp and fuzzy case)
Irina Elena Cristea, 2015, published scientific conference contribution

Keywords: fundamental relations, reduced hypergroup, fuzzy reduced hypergroup, fuzzy grade
Published in RUNG: 18.10.2017; Views: 3651; Downloads: 0
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75.
Overview on the height of a hyperideal in Krasner hyperrings
Hashem Bordbar, Irina Elena Cristea, Michal Novak, 2017, published scientific conference contribution abstract

Keywords: Krasner hyperring, prime hyperideal, Noetherian hyperring
Published in RUNG: 30.08.2017; Views: 3685; Downloads: 0
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76.
Reducibility in hypergroups (crisp and fuzzy case)
Irina Elena Cristea, 2015, published scientific conference contribution

Keywords: fundamental relation, reduced hypergroup, fuzzy set
Published in RUNG: 30.08.2017; Views: 3572; Downloads: 0
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77.
Kawakami, Satoshi; Tsurii, Tatsuya; Yamanaka, Satoe Deformations of finite hypergroups. Sci. Math. Jpn. 79 (2016), no. 2, 113–123
Irina Elena Cristea, 2017, review, book review, critique

Keywords: finite hypergroup, deformation
Published in RUNG: 24.08.2017; Views: 4658; Downloads: 0
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78.
A note on composition (m,n)-hyperrings
Morteza Norouzi, Irina Elena Cristea, 2017, original scientific article

Abstract: Based on the concepts of composition ring and composition hyperring, in this note we introduce the notion of composition structure for (m,n)-hyperrings and study the connections with composition hyperrings. Moreover we show that particular strong endomorphisms of (m,n)-hyperrings can determine the composition structure of such (m,n)-hyperrings. Finally, the three isomorphism theorems are presented in the case of composition (m, n)-hyperrings, showing that they are not a pure extension of those for composition hyperrings.
Keywords: n-hypergroup, (m, n)-hyperring, composition hyperideal
Published in RUNG: 13.07.2017; Views: 3882; Downloads: 0
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79.
Hyperrings with n -ary composition hyperoperation
Morteza Norouzi, Irina Elena Cristea, 2017, original scientific article

Abstract: Based on the concepts of composition ring and composition hyperring, in this note we introduce the notion of $n$-ary composition hyperring and study the connections with composition hyperrings. Moreover we show that special strong multiendomorphisms of hyperrings can determine the $n$-ary composition structure of a such hyperring and also a subclass of $n$-ary composition hyperrings. Finally, the three isomorphism theorems are studied in the framework of $n$-ary composition hyperrings.
Keywords: n-ary hypergroup, (m, n)-hyperring, composition hyperring, n-ary composition hyperideal
Published in RUNG: 10.07.2017; Views: 3842; Downloads: 0
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80.
HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGS
Hashem Bordbar, Irina Elena Cristea, Michal Novak, 2017, original scientific article

Abstract: Inspired by the classical concept of height of a prime ideal in a ring, we proposed in a precedent paper the notion of height of a prime hyperideal in a Krasner hyperring. In this note we first generalize some results concerning the height of a prime hyperideal in a Noetherian Krasner hyperring, with the intent to extend this definition to the case of a general hyperideal in a such hyperring. The main results in this note show that, in a commutative Noetherian Krasner hyperring, the height of a minimal prime hyperideal over a proper hyperideal generated by n elements is less than or equal to n, the converse of this claim being also true. Based on this result, it can be proved that the height of such a prime hyperideal is limited by the height of a corresponding quotient hyperideal.
Keywords: Krasner hyperring, prime/maximalhyperideal, Noetherian hyperring, height of a prime hyperideal
Published in RUNG: 01.06.2017; Views: 4460; Downloads: 0
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