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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: 574; Downloads: 7
.pdf Full text (340,31 KB)
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2.
Algebraic structures and graph theory
scientific monograph

Keywords: graphs, Cayley graph, graph energy, hypergraphs, semigroups, algebra, hypergroups, hyperfield
Published in RUNG: 10.08.2023; Views: 758; Downloads: 7
.pdf Full text (4,26 MB)
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3.
Preface to the special issue ʺAlgebraic structures and graph theoryʺ : editorial
Irina Elena Cristea, Hashem Bordbar, 2023, short scientific article

Keywords: algebraic structure, graphs
Published in RUNG: 27.07.2023; Views: 726; Downloads: 6
.pdf Full text (205,60 KB)
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4.
Arithmetic functions associated with hypergroups
Irina Elena Cristea, 2023, published scientific conference contribution abstract

Keywords: hypergroups, Euler's function, fuzzy grades, commutativity degrees
Published in RUNG: 05.07.2023; Views: 935; Downloads: 3
URL Link to file
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New aspects in the theory of complete hypergroups
Irina Elena Cristea, 2023, published scientific conference contribution

Keywords: complete hypergroup, reversibility, period of an element regularity, reducibility, class equation, commutativity degree, Euler's totient function
Published in RUNG: 20.06.2023; Views: 935; Downloads: 8
.pdf Full text (230,09 KB)
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8.
New aspects in the theory of complete hypergroups
Irina Elena Cristea, published scientific conference contribution abstract

Keywords: hypergroup, complete part, reversibility, reducibility, class equation, commutativity degree
Published in RUNG: 08.03.2023; Views: 923; Downloads: 13
.pdf Full text (1,41 MB)

9.
Dependence relations and grade fuzzy set
Alessandro Linzi, Irina Elena Cristea, 2023, original scientific article

Abstract: With the aim of developing the recent theory of dependence relations, we elaborate a procedure to measure the strength of the influence of an element on another with respect to a given dependence relation on a finite set. We call this measure the degree of influence. Its definition is based on a partial hyperoperation and a directed graph which we associate with any dependence relation. We compute the degree of influence in various examples and prove some general properties. Among these properties, we find symmetries that have the potential to be applied in the realization of effective algorithms for the computations.
Keywords: dependence relation, degree of influence, grade fuzzy set, hypercompositional structure, hyperoperation
Published in RUNG: 23.01.2023; Views: 1276; Downloads: 3
.pdf Full text (304,05 KB)
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10.
Eulerʹs totient function applied to complete hypergroups
Andromeda Cristina Sonea, Irina Elena Cristea, 2023, original scientific article

Keywords: Euler's totient function, complete hypergroups, period of an element, heart of a hypergroup
Published in RUNG: 19.01.2023; Views: 1208; Downloads: 3
.pdf Full text (253,55 KB)
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