The Euler’s totient function in canonical hypergroups

The main goal of this paper is to introduce the Euler totient function in canonical and i.p.s. hypergroup theory. Also, we determine a way to construct finite i.p.s. hypergroups using the concept of the extension of i.p.s. hypergroup by i.p.s. hypergroup.

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Bibliographic Details
Published inIndian journal of pure and applied mathematics Vol. 53; no. 3; pp. 683 - 695
Main Authors Sonea, Andromeda Cristina, Davvaz, Bijan
Format Journal Article
LanguageEnglish
Published New Delhi Indian National Science Academy 01.09.2022
Springer Nature B.V
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Canonical hypergroups
20N20
Euler’s function
i.p.s. hypergroups
11A25
Periodicity
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Summary:The main goal of this paper is to introduce the Euler totient function in canonical and i.p.s. hypergroup theory. Also, we determine a way to construct finite i.p.s. hypergroups using the concept of the extension of i.p.s. hypergroup by i.p.s. hypergroup.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-021-00159-9