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21.
Cyclicity in EL-hypergroups
Michal Novak, Štepan Krehlik, Irina Elena Cristea, 2018, original scientific article

Keywords: cyclic group, cyclic hypergroup, EL-hyperstructure, preorder
Published in RUNG: 08.11.2018; Views: 4055; Downloads: 0
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22.
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: 4604; Downloads: 0
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23.
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: 4501; Downloads: 0
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24.
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: 5518; Downloads: 0
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25.
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: 4889; Downloads: 0
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26.
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: 4842; Downloads: 0
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27.
Fechner, Zywilla (D-ULM-MFN) ; Szekelyhidi, Laszlo (H-LAJO-IM) Sine functions on hypergroups.(English summary) Arch. Math. (Basel) 106 (2016), no. 4, 371 - 382.
Irina Elena Cristea, 2017, review, book review, critique

Keywords: sine function, cosine function, locally compact hypergroup, functional equations on hypergroups
Published in RUNG: 27.02.2017; Views: 5166; Downloads: 0
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28.
A method to compute the number of regular reversible Rosenberg hypergroup
Irina Elena Cristea, Morteza Jafarpour, Ali Tavakoli, 2016, original scientific article

Abstract: The purpose of this note is the study of the hypergroups associated with binary relations. New types of matrices, called i-very good and regular reversible matrices, are introduced in order to give some properties of the Rosenberg hypergroups related to them. A program written in $MATLAB$ computes the number of these hypergroups up to isomorphism.
Keywords: hypergroup, binary relation, regular reversible hypergroup, Boolean matrix
Published in RUNG: 02.09.2016; Views: 5538; Downloads: 0
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29.
On dihedral hypergroups
Irina Elena Cristea, Morteza Jafarpour, F. Alizadeh, 2014, original scientific article

Keywords: dihedral group, regular hypergroup, reversible hypergroup
Published in RUNG: 16.06.2016; Views: 4864; Downloads: 19
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30.
On complementable semihypergroups
Hossien Aghabozorgi, Irina Elena Cristea, Morteza Jafarpour, 2016, original scientific article

Abstract: n this paper, we first introduce the notion of complementable semihypergroup, proving that the classes of simplifiable semigroups, groups, and complete hypergroups are examples of complementable semihypergroups. Then we define when two semihypergroups are disjoint and find examples of such semihypergroups. Finally, we discuss on the complementable property of $K_H$-hypergroups.
Keywords: (semi)hypergroup, complementable semihypergroup, disjoint semihypergroup, $K_H$-hypergroup
Published in RUNG: 03.03.2016; Views: 5046; Downloads: 1
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