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15. Sonea, Andromeda Cristina (R-IASIM); Davvaz, Bijan (IR-YAZD) The Euler's totient function in canonical hypergroups. (English summary) Indian J. Pure Appl. Math. 53 (2022), no. 3, 683-695 : reviewIrina Elena Cristea, 2023, review, book review, critique Keywords: hypergroups, Euler's totient function, polygroups
Published in RUNG: 16.03.2023; Views: 2043; Downloads: 0
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17. Dependence relations and grade fuzzy setAlessandro 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: 2445; Downloads: 7
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20. Regular local hyperrings and hyperdomainsHashem Bordbar, Irina Elena Cristea, Sanja Rasovic, 2022, original scientific article Abstract: This paper falls in the area of hypercompositional algebra. In particular, it focuses on the
class of Krasner hyperrings and it studies the regular local hyperrings. These are Krasner hyperrings R with a unique maximal hyperideal M having the dimension equal to the dimension of the vectorial hyperspace M. The aim of the paper is to show that any regular local hyperring is a hyperdomain. M2 For proving this, we make use of the relationship existing between the dimension of the vectorial hyperspaces related to the hyperring R and to the quotient hyperring R = R , where a is an element in M \ M2, and of the regularity of R.
Keywords: hyperring, hypermodule, vectorialhyperspace, dimension, regularhyperring, regular parameter element, hyperdomain
Published in RUNG: 27.09.2022; Views: 1816; Downloads: 27
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