31. A note on composition (m,n)-hyperringsMorteza 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: 5291; Prenosov: 0
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33. 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, recenzija, prikaz knjige, kritika Ključne besede: sine function, cosine function, locally compact hypergroup, functional equations on hypergroups
Objavljeno v RUNG: 27.02.2017; Ogledov: 5506; Prenosov: 0
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36. On complementable semihypergroupsHossien 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: 5383; Prenosov: 1
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