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21.
Cyclicity in EL-hypergroups
Michal Novak, Štepan Krehlik, Irina Elena Cristea, 2018, izvirni znanstveni članek

Ključne besede: cyclic group, cyclic hypergroup, EL-hyperstructure, preorder
Objavljeno v RUNG: 08.11.2018; Ogledov: 3142; Prenosov: 0
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22.
Reducibility in hypergroups (crisp and fuzzy case)
Irina Elena Cristea, 2015, objavljeni znanstveni prispevek na konferenci

Ključne besede: fundamental relations, reduced hypergroup, fuzzy reduced hypergroup, fuzzy grade
Objavljeno v RUNG: 18.10.2017; Ogledov: 3651; Prenosov: 0
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23.
Reducibility in hypergroups (crisp and fuzzy case)
Irina Elena Cristea, 2015, objavljeni znanstveni prispevek na konferenci

Ključne besede: fundamental relation, reduced hypergroup, fuzzy set
Objavljeno v RUNG: 30.08.2017; Ogledov: 3573; Prenosov: 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, recenzija, prikaz knjige, kritika

Ključne besede: finite hypergroup, deformation
Objavljeno v RUNG: 24.08.2017; Ogledov: 4658; Prenosov: 0
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25.
A note on composition (m,n)-hyperrings
Morteza Norouzi, Irina Elena Cristea, 2017, izvirni znanstveni članek

Opis: 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.
Ključne besede: n-hypergroup, (m, n)-hyperring, composition hyperideal
Objavljeno v RUNG: 13.07.2017; Ogledov: 3882; Prenosov: 0
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26.
Hyperrings with n -ary composition hyperoperation
Morteza Norouzi, Irina Elena Cristea, 2017, izvirni znanstveni članek

Opis: 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.
Ključne besede: n-ary hypergroup, (m, n)-hyperring, composition hyperring, n-ary composition hyperideal
Objavljeno v RUNG: 10.07.2017; Ogledov: 3842; Prenosov: 0
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27.
28.
A method to compute the number of regular reversible Rosenberg hypergroup
Irina Elena Cristea, Morteza Jafarpour, Ali Tavakoli, 2016, izvirni znanstveni članek

Opis: 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.
Ključne besede: hypergroup, binary relation, regular reversible hypergroup, Boolean matrix
Objavljeno v RUNG: 02.09.2016; Ogledov: 4508; Prenosov: 0
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29.
On dihedral hypergroups
Irina Elena Cristea, Morteza Jafarpour, F. Alizadeh, 2014, izvirni znanstveni članek

Ključne besede: dihedral group, regular hypergroup, reversible hypergroup
Objavljeno v RUNG: 16.06.2016; Ogledov: 3937; Prenosov: 18
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30.
On complementable semihypergroups
Hossien Aghabozorgi, Irina Elena Cristea, Morteza Jafarpour, 2016, izvirni znanstveni članek

Opis: 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.
Ključne besede: (semi)hypergroup, complementable semihypergroup, disjoint semihypergroup, $K_H$-hypergroup
Objavljeno v RUNG: 03.03.2016; Ogledov: 4098; Prenosov: 1
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