The Class Equation and the Commutativity Degree for Complete Hypergroups

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 21 Dec 2020 Slovenia English Publisher:MDPI AGJournal:Mathematics, volume 8, page 2,253 (eissn: 2227-7390,

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Authors: Andromeda Cristina Sonea; Irina Cristea;

doi: 10.3390/math8122253

handle: 20.500.12556/RUNG-6056

The Class Equation and the Commutativity Degree for Complete Hypergroups

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Abstract

The aim of this paper is to extend, from group theory to hypergroup theory, the class equation and the concept of commutativity degree. Both of them are studied in depth for complete hypergroups because we want to stress the similarities and the differences with respect to group theory, and the representation theorem of complete hypergroups helps us in this direction. We also find conditions under which the commutativity degree can be expressed by using the class equation.

Country

Slovenia

Related Organizations

University of Nova Gorica
Slovenia

Keywords

complete hypergroup, commutativity degree, QA1-939, conjugacy class, class equation, Mathematics

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