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1.
From HX-groups to HX-polygroups
Seyed S. Mousavi, Morteza Jafarpour, Irina Elena Cristea, 2023, original scientific article

Keywords: HX-group, hypercompositional structure, coset, polygroup, regularity, uniformity, essentiality, double coset
Published in RUNG: 22.12.2023; Views: 1859; Downloads: 8
.pdf Full text (340,31 KB)
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2.
ON HYPERIDEALS OF KRASNER HYPERRINGS BASED ON DERIVED UNITARY RINGS
Seyed Mousavi, Morteza Jafarpour, Hojat Babaei, Irina Elena Cristea, 2022, original scientific article

Keywords: (Krasner) hyperring, strongly regular relation, λe-closed hy- perideal.
Published in RUNG: 11.05.2022; Views: 2658; Downloads: 0
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3.
Hyperhomographies on Krasner Hyperfields
Vahid Vahidi, Morteza Jafarpour, Irina Elena Cristea, 2019, original scientific article

Keywords: hypergroup, hyperring, hyperfield, (hyper)homography
Published in RUNG: 25.11.2019; Views: 4409; Downloads: 97
.pdf Full text (330,54 KB)

4.
The non-commuting graph of a non-central hypergroup
Mahdiyeh Iranmanesh, Morteza Jafarpour, Irina Elena Cristea, 2019, original scientific article

Keywords: (semi)hypergroup, Hamiltonian graph, planar graph
Published in RUNG: 20.09.2019; Views: 3793; Downloads: 0
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5.
An algorithm to compute the number of Rosenberg hypergroups of order less than 7
Hossien Aghabozorgi, Morteza Jafarpour, M Dolatabadi, Irina Elena Cristea, 2019, original scientific article

Keywords: Rosenberg hypergroup, binary relation, regular reversible hypergroup
Published in RUNG: 07.08.2019; Views: 3882; Downloads: 0
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6.
Extension of elliptic curves on Krasner hyperfields
Vahid Vahedi, Morteza Jafarpour, Hossien Aghabozorgi, Irina Elena Cristea, 2019, original scientific article

Keywords: Hypergroup, hyperring, hyperfield, elliptic (hyper)curve, generalized Weierstrass equation, cryptography
Published in RUNG: 08.04.2019; Views: 4113; Downloads: 0
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7.
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: 5670; Downloads: 0
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8.
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: 5010; Downloads: 19
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9.
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: 5180; Downloads: 1
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