The Class Equation and the Commutativity Degree for Complete Hypergroups

Andromeda Cristina Sonea and Irina Cristea
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Andromeda Cristina Sonea: Faculty of Mathematics, Al. I. Cuza University, Bd. Carol I 13, 700506 Iasi, Romania
Irina Cristea: Centre for Information Technologies and Applied Mathematics, University of Nova Gorica, Vipavska Cesta 13, 5000 Nova Gorica, Slovenia

Mathematics, 2020, vol. 8, issue 12, 1-15

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.

Keywords: complete hypergroup; commutativity degree; conjugacy class; class equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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